diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/Expression.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/Expression.java
index a10de9282b..6922f81ca6 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/Expression.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/Expression.java
@@ -22,6 +22,7 @@ import org.apache.doris.nereids.analyzer.Unbound;
 import org.apache.doris.nereids.exceptions.AnalysisException;
 import org.apache.doris.nereids.trees.AbstractTreeNode;
 import org.apache.doris.nereids.trees.expressions.functions.ExpressionTrait;
+import org.apache.doris.nereids.trees.expressions.functions.Nondeterministic;
 import org.apache.doris.nereids.trees.expressions.literal.Literal;
 import org.apache.doris.nereids.trees.expressions.literal.NullLiteral;
 import org.apache.doris.nereids.trees.expressions.shape.LeafExpression;
@@ -226,7 +227,7 @@ public abstract class Expression extends AbstractTreeNode<Expression> implements
         if (this instanceof LeafExpression) {
             return this instanceof Literal;
         } else {
-            return children().stream().allMatch(Expression::isConstant);
+            return !(this instanceof Nondeterministic) && children().stream().allMatch(Expression::isConstant);
         }
     }