diff --git a/lib/jwt/eddsa/jwk/okp.rb b/lib/jwt/eddsa/jwk/okp.rb
index 3d71251..ea17a84 100644
--- a/lib/jwt/eddsa/jwk/okp.rb
+++ b/lib/jwt/eddsa/jwk/okp.rb
@@ -56,6 +56,12 @@ def export(options = {})
           exported
         end
 
+        def jwa
+          return super if self[:alg]
+
+          JWA.resolve("EdDSA") if self[:crv] == "Ed25519"
+        end
+
         private
 
         def extract_key_params(key) # rubocop:disable Metrics/MethodLength
diff --git a/spec/integration_spec.rb b/spec/integration_spec.rb
index 8801534..53d47b2 100644
--- a/spec/integration_spec.rb
+++ b/spec/integration_spec.rb
@@ -69,4 +69,17 @@
       expect(payload).to eq(token_payload)
     end
   end
+
+  describe "JWK as key" do
+    let(:jwk) { JWT::JWK.new(Ed25519::SigningKey.new(SecureRandom.hex)) }
+
+    it "signs and verifies using the jwk" do
+      token = JWT::Token.new(payload: {}, header: {})
+
+      token.sign!(algorithm: "EdDSA", key: jwk)
+
+      encoded_token = JWT::EncodedToken.new(token.jwt)
+      encoded_token.verify!(signature: { algorithm: %w[HS256 EdDSA], key: jwk })
+    end
+  end
 end