diff --git a/independent-projects/arc/processor/src/main/java/io/quarkus/arc/processor/Beans.java b/independent-projects/arc/processor/src/main/java/io/quarkus/arc/processor/Beans.java
index 0081f93d67b56..9e26c06a3ead4 100644
--- a/independent-projects/arc/processor/src/main/java/io/quarkus/arc/processor/Beans.java
+++ b/independent-projects/arc/processor/src/main/java/io/quarkus/arc/processor/Beans.java
@@ -124,7 +124,6 @@ static BeanInfo createProducerMethod(Set<Type> beanTypes, MethodInfo producerMet
                 priority = annotation.value().asInt();
                 continue;
             }
-            // This is not supported ATM but should work once we upgrade to Common Annotations 2.1
             if ((!isAlternative || priority == null) && annotationName.equals(DotNames.PRIORITY)) {
                 priority = annotation.value().asInt();
                 continue;
@@ -240,7 +239,6 @@ static BeanInfo createProducerField(FieldInfo producerField, BeanInfo declaringB
                 priority = annotation.value().asInt();
                 continue;
             }
-            // This is not supported ATM but should work once we upgrade to Common Annotations 2.1
             if ((!isAlternative || priority == null) && annotation.name().equals(DotNames.PRIORITY)) {
                 priority = annotation.value().asInt();
                 continue;
diff --git a/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/AlternativePriority.java b/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/AlternativePriority.java
index 48be16ec02521..5fd701beb4c1b 100644
--- a/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/AlternativePriority.java
+++ b/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/AlternativePriority.java
@@ -10,10 +10,10 @@
 /**
  * If a bean is annotated with this annotation, it is considered an enabled alternative with given priority.
  * Effectively, this is a shortcut for {@code Alternative} plus {@code Priority} annotations.
+ * <p>
+ * This annotation can be used not only on bean classes, but also method and field producers.
  *
- * This annotation can be used not only on bean classes, but also method and field producers (unlike pure {@code Priority}).
- *
- * @deprecated Use {@link Alternative} and {@link io.quarkus.arc.Priority}/{@link jakarta.annotation.Priority} instead
+ * @deprecated Use {@link Alternative} and {@link jakarta.annotation.Priority} instead
  */
 @Retention(RetentionPolicy.RUNTIME)
 @Target({ ElementType.METHOD, ElementType.TYPE, ElementType.FIELD })
diff --git a/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/Priority.java b/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/Priority.java
index 8328b9815bea7..6512d5cfa5cdc 100644
--- a/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/Priority.java
+++ b/independent-projects/arc/runtime/src/main/java/io/quarkus/arc/Priority.java
@@ -1,18 +1,25 @@
 package io.quarkus.arc;
 
-import static java.lang.annotation.RetentionPolicy.RUNTIME;
-
 import java.lang.annotation.Retention;
-import java.lang.annotation.Target;
+import java.lang.annotation.RetentionPolicy;
 
 /**
- * This annotation has the same semantics as {@link jakarta.annotation.Priority} except that the {@link Target}
- * meta-annotation is not present. The main motivation is to support method and field declarations, i.e. this annotation
- * can be used for producer methods and fields. Note that this problem is fixed in Common Annotations 2.1.
+ * This annotation has the same semantics as {@link jakarta.annotation.Priority}.
+ * <p>
+ * Prior to Common Annotations 2.1, the {@code jakarta.annotation.Priority} annotation
+ * was meta-annotated {@code @Target({TYPE, PARAMETER})} and so was only usable on class
+ * declarations and method parameters. This annotation was introduced to allow annotating
+ * producer methods and fields.
+ * <p>
+ * Since Common Annotations 2.1, the {@code jakarta.annotation.Priority} is no longer
+ * meta-annotated {@code @Target}, so these two annotations are equivalent.
  * <p>
  * A priority specified by {@link AlternativePriority} and {@link jakarta.annotation.Priority} takes precedence.
+ *
+ * @deprecated use {@link jakarta.annotation.Priority} instead
  */
-@Retention(RUNTIME)
+@Retention(RetentionPolicy.RUNTIME)
+@Deprecated
 public @interface Priority {
 
     int value();