diff --git a/CHANGELOG.md b/CHANGELOG.md
index a9c07ca36..82a5e312b 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,4 +1,5 @@
 # UNRELEASED
+- Add Swift name to `resumeExternalUserAgentFlowWithURL:error:` and update hint. (#966)
 - Replace case range with explicit case labels in OIDTokenUtilities. Addresses issue #947. ([#963](https://github.com/openid/AppAuth-iOS/pull/963))
 
 # 2.1.0
diff --git a/Examples/Example-iOS_Swift-Carthage/Source/AppDelegate.swift b/Examples/Example-iOS_Swift-Carthage/Source/AppDelegate.swift
index e530753fb..8e623d2f4 100644
--- a/Examples/Example-iOS_Swift-Carthage/Source/AppDelegate.swift
+++ b/Examples/Example-iOS_Swift-Carthage/Source/AppDelegate.swift
@@ -37,7 +37,7 @@ class AppDelegate: UIResponder, UIApplicationDelegate {
         // such as no pending flow, which previously surfaced as an NSException.
         if let authorizationFlow = self.currentAuthorizationFlow {
             do {
-                try authorizationFlow.resumeExternalUserAgentFlow(with: url)
+                try authorizationFlow.resumeExternalUserAgentFlow?(with: url)
                 self.currentAuthorizationFlow = nil
                 return true
             } catch {
diff --git a/Examples/Example-iOS_Swift-SPM/Example/AppDelegate.swift b/Examples/Example-iOS_Swift-SPM/Example/AppDelegate.swift
index adb459ee9..ff1f50e2a 100644
--- a/Examples/Example-iOS_Swift-SPM/Example/AppDelegate.swift
+++ b/Examples/Example-iOS_Swift-SPM/Example/AppDelegate.swift
@@ -29,7 +29,7 @@ class AppDelegate: NSObject, UIApplicationDelegate {
         // such as no pending flow, which previously surfaced as an NSException.
         if let authorizationFlow = self.currentAuthorizationFlow {
             do {
-                try authorizationFlow.resumeExternalUserAgentFlow(with: url)
+                try authorizationFlow.resumeExternalUserAgentFlow?(url)
                 self.currentAuthorizationFlow = nil
                 return true
             } catch {
diff --git a/Sources/AppAuthCore/OIDExternalUserAgentSession.h b/Sources/AppAuthCore/OIDExternalUserAgentSession.h
index 608f918a4..8e92393f4 100644
--- a/Sources/AppAuthCore/OIDExternalUserAgentSession.h
+++ b/Sources/AppAuthCore/OIDExternalUserAgentSession.h
@@ -51,7 +51,9 @@ NS_ASSUME_NONNULL_BEGIN
     @remarks Has no effect if called more than once, or after a @c cancel message was received.
     @return YES if the passed URL matches the expected redirect URL and was consumed, NO otherwise.
  */
-- (BOOL)resumeExternalUserAgentFlowWithURL:(NSURL *)URL __deprecated_msg("Use resumeExternalUserAgentFlowWithURL:error: instead");
+- (BOOL)resumeExternalUserAgentFlowWithURL:(NSURL *)URL
+  __deprecated_msg("Use resumeExternalUserAgentFlowWithURL:error: instead. "
+                   "Swift: Use the throwing resumeExternalUserAgentFlow(_:)");
 
 @optional
 /*! @brief Clients should call this method with the result of the external user-agent code flow if
@@ -71,7 +73,7 @@ NS_ASSUME_NONNULL_BEGIN
         NO if the URL did not match (\@c OIDErrorCodeURLMismatch) or no authorization flow
         was pending (\@c OIDErrorCodeInvalidAuthorizationFlow).
  */
-- (BOOL)resumeExternalUserAgentFlowWithURL:(NSURL *)URL error:(NSError *_Nullable *_Nullable)error;
+- (BOOL)resumeExternalUserAgentFlowWithURL:(NSURL *)URL error:(NSError *_Nullable *_Nullable)error NS_SWIFT_NAME(resumeExternalUserAgentFlow(_:));
 
 @required
 /*! @brief @c OIDExternalUserAgent or clients should call this method when the