diff --git a/noir-projects/noir-contracts/contracts/avm_test_contract/src/main.nr b/noir-projects/noir-contracts/contracts/avm_test_contract/src/main.nr
index 675b8c40867..2f2c45609df 100644
--- a/noir-projects/noir-contracts/contracts/avm_test_contract/src/main.nr
+++ b/noir-projects/noir-contracts/contracts/avm_test_contract/src/main.nr
@@ -19,6 +19,9 @@ impl Deserialize<2> for Note {
 
 contract AvmTest {
     use crate::Note;
+    
+    global big_field_128_bits: Field = 0x001234567890abcdef1234567890abcdef;
+    global big_field_136_bits: Field = 0x991234567890abcdef1234567890abcdef;
 
     // Libs
     use dep::aztec::prelude::Map;
@@ -94,12 +97,6 @@ contract AvmTest {
         8 as u8
     }
 
-    // Bit size 16 in Noir is deprecated.
-    // #[aztec(public-vm)]
-    // fn setOpcodeUint16() -> pub u16 {
-    //     60000 as u16
-    // }
-
     #[aztec(public-vm)]
     fn setOpcodeUint32() -> pub u32 {
         1 << 30 as u32
@@ -110,18 +107,14 @@ contract AvmTest {
         1 << 60 as u64
     }
 
-    // Can't return this since it doesn't fit in a Noir field.
-    // #[aztec(public-vm)]
-    // fn setOpcodeUint128() -> pub u128 {
-    //     1 << 120 as u128
-    // }
-
-    // Field should fit in 128 bits
-    // ACIR only supports fields of up to 126 bits!
-    // Same with internal fields for unconstrained functions, apprently.
     #[aztec(public-vm)]
     fn setOpcodeSmallField() -> pub Field {
-        200 as Field
+        big_field_128_bits
+    }
+
+    #[aztec(public-vm)]
+    fn setOpcodeBigField() -> pub Field {
+        big_field_136_bits
     }
 
     #[aztec(public-vm)]
diff --git a/noir/noir-repo/compiler/noirc_evaluator/src/brillig/brillig_ir.rs b/noir/noir-repo/compiler/noirc_evaluator/src/brillig/brillig_ir.rs
index 80b13c8f6ba..2d04ded33e8 100644
--- a/noir/noir-repo/compiler/noirc_evaluator/src/brillig/brillig_ir.rs
+++ b/noir/noir-repo/compiler/noirc_evaluator/src/brillig/brillig_ir.rs
@@ -593,11 +593,53 @@ impl BrilligContext {
     pub(crate) fn const_instruction(&mut self, result: SingleAddrVariable, constant: Value) {
         self.debug_show.const_instruction(result.address, constant);
 
-        self.push_opcode(BrilligOpcode::Const {
-            destination: result.address,
-            value: constant,
-            bit_size: result.bit_size,
-        });
+        if result.bit_size > 128 && !constant.to_field().fits_in_u128() {
+            let high = Value::from(FieldElement::from_be_bytes_reduce(
+                constant
+                    .to_field()
+                    .to_be_bytes()
+                    .get(0..16)
+                    .expect("FieldElement::to_be_bytes() too short!"),
+            ));
+            let low = Value::from(constant.to_u128());
+            let high_register = SingleAddrVariable::new(self.allocate_register(), 254);
+            let low_register = SingleAddrVariable::new(self.allocate_register(), 254);
+            let intermediate_register = SingleAddrVariable::new(self.allocate_register(), 254);
+            self.const_instruction(high_register, high);
+            self.const_instruction(low_register, low);
+            // I want to multiply high by 2^128, but I can't get that big constant in.
+            // So I'll multiply by 2^64 twice.
+            self.const_instruction(intermediate_register, Value::from(1_u128 << 64));
+            self.binary_instruction(
+                high_register,
+                intermediate_register,
+                high_register,
+                BrilligBinaryOp::Mul,
+            );
+            self.binary_instruction(
+                high_register,
+                intermediate_register,
+                high_register,
+                BrilligBinaryOp::Mul,
+            );
+            // Now we can add.
+            self.binary_instruction(
+                high_register,
+                low_register,
+                intermediate_register,
+                BrilligBinaryOp::Add,
+            );
+            self.cast_instruction(result, intermediate_register);
+            self.deallocate_single_addr(high_register);
+            self.deallocate_single_addr(low_register);
+            self.deallocate_single_addr(intermediate_register);
+        } else {
+            self.push_opcode(BrilligOpcode::Const {
+                destination: result.address,
+                value: constant,
+                bit_size: result.bit_size,
+            });
+        }
     }
 
     pub(crate) fn usize_const(&mut self, result: MemoryAddress, constant: Value) {
diff --git a/yarn-project/simulator/src/avm/avm_simulator.test.ts b/yarn-project/simulator/src/avm/avm_simulator.test.ts
index b8e4708d2aa..1561c064428 100644
--- a/yarn-project/simulator/src/avm/avm_simulator.test.ts
+++ b/yarn-project/simulator/src/avm/avm_simulator.test.ts
@@ -79,11 +79,10 @@ describe('AVM simulator', () => {
 
     describe.each([
       ['avm_setOpcodeUint8', 8n],
-      // ['avm_setOpcodeUint16', 60000n],
       ['avm_setOpcodeUint32', 1n << 30n],
       ['avm_setOpcodeUint64', 1n << 60n],
-      // ['avm_setOpcodeUint128', 1n << 120n],
-      ['avm_setOpcodeSmallField', 200n],
+      ['avm_setOpcodeSmallField', 0x001234567890abcdef1234567890abcdefn],
+      ['avm_setOpcodeBigField', 0x991234567890abcdef1234567890abcdefn],
     ])('Should execute contract SET functions', (name: string, res: bigint) => {
       it(`Should execute contract function '${name}'`, async () => {
         const context = initContext();