diff --git a/compiler/noirc_evaluator/src/ssa/opt/check_u128_mul_overflow.rs b/compiler/noirc_evaluator/src/ssa/opt/check_u128_mul_overflow.rs
index 29eb20ee197..2acc9e861c2 100644
--- a/compiler/noirc_evaluator/src/ssa/opt/check_u128_mul_overflow.rs
+++ b/compiler/noirc_evaluator/src/ssa/opt/check_u128_mul_overflow.rs
@@ -72,23 +72,17 @@ fn check_u128_mul_overflow(
     let lhs_value = dfg.get_numeric_constant(lhs);
     let rhs_value = dfg.get_numeric_constant(rhs);
 
-    let two_pow_64 = 1_u128 << 64;
-
-    // If lhs is less than 2^64 then the condition trivially holds.
-    if let Some(value) = lhs_value {
-        if value.to_u128() < two_pow_64 {
-            return;
-        }
-    }
-
-    // Same goes for rhs
-    if let Some(value) = rhs_value {
-        if value.to_u128() < two_pow_64 {
-            return;
-        }
+    // If we multiply a constant value 2^n by an unknown u128 value we get at most `2^(n+128) - 2`.
+    // If `n+128` does not overflow the maximum Field element value, there's no need to check for overflow.
+    let max_const_value_that_does_not_overflow = 1_u128 << (FieldElement::max_num_bits() - 128);
+    if lhs_value.is_some_and(|value| value.to_u128() < max_const_value_that_does_not_overflow)
+        || rhs_value.is_some_and(|value| value.to_u128() < max_const_value_that_does_not_overflow)
+    {
+        return;
     }
 
     let u128 = NumericType::unsigned(128);
+    let two_pow_64 = 1_u128 << 64;
     let two_pow_64 = dfg.make_constant(two_pow_64.into(), u128);
     let mul = BinaryOp::Mul { unchecked: true };
 
@@ -146,11 +140,13 @@ mod tests {
     };
 
     #[test]
-    fn does_not_insert_check_if_lhs_is_less_than_two_pow_64() {
+    fn does_not_insert_check_if_multiplying_lhs_will_not_overflow_field_element() {
+        // The big value here is 2^254 - 2^128 - 1, which, when multiplied by any u128
+        // won't overflow a Field element max value.
         let src = "
         acir(inline) fn main f0 {
           b0(v0: u128):
-            v2 = mul u128 18446744073709551615, v0
+            v2 = mul u128 85070591730234615865843651857942052863, v0
             return
         }
         ";
@@ -158,11 +154,13 @@ mod tests {
     }
 
     #[test]
-    fn does_not_insert_check_if_rhs_is_less_than_two_pow_64() {
+    fn does_not_insert_check_if_multiplying_rhs_will_not_overflow_field_element() {
+        // The big value here is 2^254 - 2^128 - 1, which, when multiplied by any u128
+        // won't overflow a Field element max value.
         let src = "
         acir(inline) fn main f0 {
           b0(v0: u128):
-            v2 = mul v0, u128 18446744073709551615
+            v2 = mul v0, u128 85070591730234615865843651857942052863
             return
         }
         ";
@@ -171,10 +169,12 @@ mod tests {
 
     #[test]
     fn inserts_check_for_lhs() {
+        // The big value here is 2^254 - 2^128, which, when multiplied by any u128
+        // might overflow a Field element max value.
         let src = "
         acir(inline) fn main f0 {
           b0(v0: u128):
-            v2 = mul v0, u128 18446744073709551617
+            v2 = mul v0, u128 85070591730234615865843651857942052864
             return
         }
         ";
@@ -184,7 +184,7 @@ mod tests {
         assert_ssa_snapshot!(ssa, @r#"
         acir(inline) fn main f0 {
           b0(v0: u128):
-            v2 = mul v0, u128 18446744073709551617
+            v2 = mul v0, u128 85070591730234615865843651857942052864
             v4 = div v0, u128 18446744073709551616
             constrain v4 == u128 0, "attempt to multiply with overflow"
             return
@@ -194,10 +194,12 @@ mod tests {
 
     #[test]
     fn inserts_check_for_rhs() {
+        // The big value here is 2^254 - 2^128, which, when multiplied by any u128
+        // might overflow a Field element max value.
         let src = "
         acir(inline) fn main f0 {
           b0(v0: u128):
-            v2 = mul u128 18446744073709551617, v0
+            v2 = mul u128 85070591730234615865843651857942052864, v0
             return
         }
         ";
@@ -207,7 +209,7 @@ mod tests {
         assert_ssa_snapshot!(ssa, @r#"
         acir(inline) fn main f0 {
           b0(v0: u128):
-            v2 = mul u128 18446744073709551617, v0
+            v2 = mul u128 85070591730234615865843651857942052864, v0
             v4 = div v0, u128 18446744073709551616
             constrain v4 == u128 0, "attempt to multiply with overflow"
             return
@@ -245,7 +247,7 @@ mod tests {
         let src = "
         acir(inline) fn main f0 {
           b0():
-            v2 = mul u128 18446744073709551617, u128 18446744073709551616
+            v2 = mul u128 85070591730234615865843651857942052864, u128 85070591730234615865843651857942052865
             return
         }
         ";
@@ -256,7 +258,7 @@ mod tests {
         assert_ssa_snapshot!(ssa, @r#"
         acir(inline) fn main f0 {
           b0():
-            v2 = mul u128 18446744073709551617, u128 18446744073709551616
+            v2 = mul u128 85070591730234615865843651857942052864, u128 85070591730234615865843651857942052865
             constrain u128 1 == u128 0, "attempt to multiply with overflow"
             return
         }
@@ -274,6 +276,7 @@ mod tests {
         ";
         assert_ssa_does_not_change(src, Ssa::check_u128_mul_overflow);
     }
+
     #[test]
     fn predicate_overflow() {
         // This code performs a u128 multiplication that overflows, under a condition.