diff --git a/README.md b/README.md
index f194a72715e..16f6de47ed2 100644
--- a/README.md
+++ b/README.md
@@ -11,7 +11,7 @@
 This is the [Matrix](https://matrix.org) Client-Server SDK for JavaScript and TypeScript. This SDK can be run in a
 browser or in Node.js.
 
-#### Minimum Matrix server version: v1.1
+#### Minimum Matrix server version: v1.5
 
 The Matrix specification is constantly evolving - while this SDK aims for maximum backwards compatibility, it only
 guarantees that a feature will be supported for at least 4 spec releases. For example, if a feature the js-sdk supports
diff --git a/package.json b/package.json
index ef4a1de8c26..574dfb24481 100644
--- a/package.json
+++ b/package.json
@@ -52,7 +52,7 @@
     ],
     "dependencies": {
         "@babel/runtime": "^7.12.5",
-        "@matrix-org/matrix-sdk-crypto-wasm": "^3.5.0",
+        "@matrix-org/matrix-sdk-crypto-wasm": "^3.6.0",
         "another-json": "^0.2.0",
         "bs58": "^5.0.0",
         "content-type": "^1.0.4",
diff --git a/spec/unit/autodiscovery.spec.ts b/spec/unit/autodiscovery.spec.ts
index b7614d7240f..b4025218e66 100644
--- a/spec/unit/autodiscovery.spec.ts
+++ b/spec/unit/autodiscovery.spec.ts
@@ -351,7 +351,7 @@ describe("AutoDiscovery", function () {
         function () {
             const httpBackend = getHttpBackend();
             httpBackend.when("GET", "/_matrix/client/versions").respond(200, {
-                not_matrix_versions: ["v1.1"],
+                not_matrix_versions: ["v1.5"],
             });
             httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
                 "m.homeserver": {
@@ -388,7 +388,7 @@ describe("AutoDiscovery", function () {
                 expect(req.path).toEqual("https://example.org/_matrix/client/versions");
             })
             .respond(200, {
-                versions: ["v1.1"],
+                versions: ["v1.5"],
             });
         httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
             "m.homeserver": {
@@ -428,7 +428,7 @@ describe("AutoDiscovery", function () {
                 expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
             })
             .respond(200, {
-                versions: ["v1.1"],
+                versions: ["v1.5"],
             });
         httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
             "m.homeserver": {
@@ -469,7 +469,7 @@ describe("AutoDiscovery", function () {
                 expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
             })
             .respond(200, {
-                versions: ["v1.1"],
+                versions: ["v1.5"],
             });
         httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
             "m.homeserver": {
@@ -515,7 +515,7 @@ describe("AutoDiscovery", function () {
                     expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
                 })
                 .respond(200, {
-                    versions: ["v1.1"],
+                    versions: ["v1.5"],
                 });
             httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
                 "m.homeserver": {
@@ -560,7 +560,7 @@ describe("AutoDiscovery", function () {
                     expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
                 })
                 .respond(200, {
-                    versions: ["v1.1"],
+                    versions: ["v1.5"],
                 });
             httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
                 "m.homeserver": {
@@ -606,7 +606,7 @@ describe("AutoDiscovery", function () {
                     expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
                 })
                 .respond(200, {
-                    versions: ["v1.1"],
+                    versions: ["v1.5"],
                 });
             httpBackend.when("GET", "/_matrix/identity/v2").respond(404, {});
             httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
@@ -653,7 +653,7 @@ describe("AutoDiscovery", function () {
                     expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
                 })
                 .respond(200, {
-                    versions: ["v1.1"],
+                    versions: ["v1.5"],
                 });
             httpBackend.when("GET", "/_matrix/identity/v2").respond(500, {});
             httpBackend.when("GET", "/.well-known/matrix/client").respond(200, {
@@ -697,7 +697,7 @@ describe("AutoDiscovery", function () {
                 expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
             })
             .respond(200, {
-                versions: ["v1.1"],
+                versions: ["v1.5"],
             });
         httpBackend
             .when("GET", "/_matrix/identity/v2")
@@ -747,7 +747,7 @@ describe("AutoDiscovery", function () {
                 expect(req.path).toEqual("https://chat.example.org/_matrix/client/versions");
             })
             .respond(200, {
-                versions: ["v1.1"],
+                versions: ["v1.5"],
             });
         httpBackend
             .when("GET", "/_matrix/identity/v2")
@@ -910,7 +910,7 @@ describe("AutoDiscovery", function () {
 
         beforeEach(() => {
             fetchMock.resetBehavior();
-            fetchMock.get(`${homeserverUrl}_matrix/client/versions`, { versions: ["v1.1"] });
+            fetchMock.get(`${homeserverUrl}_matrix/client/versions`, { versions: ["v1.5"] });
 
             fetchMock.get("https://example.org/.well-known/matrix/client", {
                 "m.homeserver": {
diff --git a/src/version-support.ts b/src/version-support.ts
index dd2d55ad9e2..25fe72d70b5 100644
--- a/src/version-support.ts
+++ b/src/version-support.ts
@@ -16,5 +16,8 @@ limitations under the License.
 
 /**
  * The minimum Matrix specification version the js-sdk supports.
+ *
+ * (This means that we require any servers we connect to to declare support for this spec version, so it is important
+ * for it not to be too old, as well as not too new.)
  */
-export const MINIMUM_MATRIX_VERSION = "v1.1";
+export const MINIMUM_MATRIX_VERSION = "v1.5";
diff --git a/yarn.lock b/yarn.lock
index 65902b4c290..961c03c5bb0 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -1675,10 +1675,10 @@
     "@jridgewell/resolve-uri" "^3.1.0"
     "@jridgewell/sourcemap-codec" "^1.4.14"
 
-"@matrix-org/matrix-sdk-crypto-wasm@^3.5.0":
-  version "3.5.0"
-  resolved "https://registry.yarnpkg.com/@matrix-org/matrix-sdk-crypto-wasm/-/matrix-sdk-crypto-wasm-3.5.0.tgz#997d63ae12304142513fe93c5e0872ff10ca30b4"
-  integrity sha512-7as0jJTje+rFu9AF8LEO0tmhtHcou2YQnZOtpiP+lS5rDfIPv5CL8/eb45fzDnbQybt9Jm5zdjBdiLBEaUg2dQ==
+"@matrix-org/matrix-sdk-crypto-wasm@^3.6.0":
+  version "3.6.0"
+  resolved "https://registry.yarnpkg.com/@matrix-org/matrix-sdk-crypto-wasm/-/matrix-sdk-crypto-wasm-3.6.0.tgz#385aa579d7b7546d85c9b20bf6ba780f799bdda3"
+  integrity sha512-fvuYczcp/r/MOkOAUbK+tMaTerEe7/QHGQcRJz3W3JuEma0YN59d35zTBlts7EkN6Ichw1vLSyM+GkcbuosuyA==
 
 "@matrix-org/olm@3.2.15":
   version "3.2.15"