diff --git a/src/webkit/wkConnection.ts b/src/webkit/wkConnection.ts
index c89a639742..329c2a5b05 100644
--- a/src/webkit/wkConnection.ts
+++ b/src/webkit/wkConnection.ts
@@ -21,7 +21,6 @@ import { ConnectionTransport } from '../transport';
 import { Protocol } from './protocol';
 
 const debugProtocol = platform.debug('pw:protocol');
-const debugWrappedMessage = platform.debug('pw:wrapped');
 
 // WKBrowserServer uses this special id to issue Browser.close command which we
 // should ignore.
@@ -126,7 +125,7 @@ export class WKSession extends platform.EventEmitter {
       return Promise.reject(new Error(`Protocol error (${method}): ${this.errorText}`));
     const id = this.connection.nextMessageId();
     const messageObj = { id, method, params };
-    debugWrappedMessage('SEND ► ' + JSON.stringify(messageObj, null, 2));
+    platform.debug('pw:wrapped:' + this.sessionId)('SEND ► ' + JSON.stringify(messageObj, null, 2));
     const result = new Promise<Protocol.CommandReturnValues[T]>((resolve, reject) => {
       this._callbacks.set(id, {resolve, reject, error: new Error(), method});
     });
@@ -146,7 +145,7 @@ export class WKSession extends platform.EventEmitter {
   }
 
   dispatchMessage(object: any) {
-    debugWrappedMessage('◀ RECV ' + JSON.stringify(object, null, 2));
+    platform.debug('pw:wrapped:' + this.sessionId)('◀ RECV ' + JSON.stringify(object, null, 2));
     if (object.id && this._callbacks.has(object.id)) {
       const callback = this._callbacks.get(object.id)!;
       this._callbacks.delete(object.id);
diff --git a/test/navigation.spec.js b/test/navigation.spec.js
index 1712078360..302b314b7e 100644
--- a/test/navigation.spec.js
+++ b/test/navigation.spec.js
@@ -172,6 +172,8 @@ module.exports.describe = function({testRunner, expect, playwright, FFOX, CHROMI
       await page.goto('http://localhost:44123/non-existing-url').catch(e => error = e);
       if (CHROMIUM)
         expect(error.message).toContain('net::ERR_CONNECTION_REFUSED');
+      else if (WEBKIT && process.platform === 'win32')
+        expect(error.message).toContain(`Couldn\'t connect to server`);
       else if (WEBKIT)
         expect(error.message).toContain('Could not connect');
       else
@@ -898,6 +900,8 @@ module.exports.describe = function({testRunner, expect, playwright, FFOX, CHROMI
     } else if (WEBKIT) {
       if (process.platform === 'darwin')
         expect(errorMessage).toContain('The certificate for this server is invalid');
+      else if (process.platform === 'win32')
+        expect(errorMessage).toContain('SSL peer certificate or SSH remote key was not OK');
       else
         expect(errorMessage).toContain('Unacceptable TLS certificate');
     } else {
diff --git a/test/network.spec.js b/test/network.spec.js
index f63fc1e7f8..6bcfce3c36 100644
--- a/test/network.spec.js
+++ b/test/network.spec.js
@@ -250,6 +250,8 @@ module.exports.describe = function({testRunner, expect, FFOX, CHROMIUM, WEBKIT})
       } else if (WEBKIT) {
         if (process.platform === 'darwin')
           expect(failedRequests[0].failure().errorText).toBe('The network connection was lost.');
+        else if (process.platform === 'win32')
+          expect(failedRequests[0].failure().errorText).toBe('Unsupported protocol');
         else
           expect(failedRequests[0].failure().errorText).toBe('Message Corrupt');
       } else {