diff --git a/web/src/main/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServices.java b/web/src/main/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServices.java
index 7e1369fa764..30b9e261d05 100644
--- a/web/src/main/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServices.java
+++ b/web/src/main/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServices.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2023 the original author or authors.
+ * Copyright 2002-2024 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -21,6 +21,7 @@
 import java.net.URLEncoder;
 import java.nio.charset.StandardCharsets;
 import java.util.Base64;
+import java.util.function.Consumer;
 
 import jakarta.servlet.http.Cookie;
 import jakarta.servlet.http.HttpServletRequest;
@@ -97,6 +98,9 @@ public abstract class AbstractRememberMeServices
 
 	private GrantedAuthoritiesMapper authoritiesMapper = new NullAuthoritiesMapper();
 
+	private Consumer<Cookie> cookieCustomizer = (cookie) -> {
+	};
+
 	protected AbstractRememberMeServices(String key, UserDetailsService userDetailsService) {
 		Assert.hasLength(key, "key cannot be empty or null");
 		Assert.notNull(userDetailsService, "UserDetailsService cannot be null");
@@ -373,6 +377,9 @@ protected void setCookie(String[] tokens, int maxAge, HttpServletRequest request
 		}
 		cookie.setSecure((this.useSecureCookie != null) ? this.useSecureCookie : request.isSecure());
 		cookie.setHttpOnly(true);
+
+		this.cookieCustomizer.accept(cookie);
+
 		response.addCookie(cookie);
 	}
 
@@ -492,4 +499,14 @@ public void setMessageSource(MessageSource messageSource) {
 		this.messages = new MessageSourceAccessor(messageSource);
 	}
 
+	/**
+	 * Sets the {@link Consumer}, allowing customization of cookie.
+	 * @param cookieCustomizer customize for cookie
+	 * @since 6.4
+	 */
+	public void setCookieCustomizer(Consumer<Cookie> cookieCustomizer) {
+		Assert.notNull(cookieCustomizer, "cookieCustomizer cannot be null");
+		this.cookieCustomizer = cookieCustomizer;
+	}
+
 }
diff --git a/web/src/test/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServicesTests.java b/web/src/test/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServicesTests.java
index 541a685f562..ba399db5b13 100644
--- a/web/src/test/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServicesTests.java
+++ b/web/src/test/java/org/springframework/security/web/authentication/rememberme/AbstractRememberMeServicesTests.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2022 the original author or authors.
+ * Copyright 2002-2024 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -402,6 +402,17 @@ public void setMessageSourceWhenNotNullThenCanGet() {
 		verify(source).getMessage(eq(code), any(), any());
 	}
 
+	@Test
+	public void setCookieCustomAttribute() {
+		MockHttpServletRequest request = new MockHttpServletRequest();
+		MockHttpServletResponse response = new MockHttpServletResponse();
+		MockRememberMeServices services = new MockRememberMeServices(this.uds);
+		services.setCookieCustomizer((cookie) -> cookie.setAttribute("attr1", "value1"));
+		services.setCookie(new String[] { "mycookie" }, 1000, request, response);
+		Cookie cookie = response.getCookie(AbstractRememberMeServices.SPRING_SECURITY_REMEMBER_ME_COOKIE_KEY);
+		assertThat(cookie.getAttribute("attr1")).isEqualTo("value1");
+	}
+
 	private Cookie[] createLoginCookie(String cookieToken) {
 		MockRememberMeServices services = new MockRememberMeServices(this.uds);
 		Cookie cookie = new Cookie(AbstractRememberMeServices.SPRING_SECURITY_REMEMBER_ME_COOKIE_KEY,