diff --git a/crates/noirc_evaluator/src/ssa_refactor/opt/simplify_cfg.rs b/crates/noirc_evaluator/src/ssa_refactor/opt/simplify_cfg.rs
index 7c91b5f0fe5..419120fc4e8 100644
--- a/crates/noirc_evaluator/src/ssa_refactor/opt/simplify_cfg.rs
+++ b/crates/noirc_evaluator/src/ssa_refactor/opt/simplify_cfg.rs
@@ -5,8 +5,10 @@
 //! 2. Inlines a block into its sole predecessor if that predecessor only has one successor.
 //! 3. Removes any block arguments for blocks with only a single predecessor.
 //! 4. Removes any blocks which have no instructions other than a single terminating jmp.
+//! 5. Replaces any jmpifs with constant conditions with jmps. If this causes the block to have
+//!    only 1 successor then (2) also will be applied.
 //!
-//! Currently, only 2 and 3 are implemented.
+//! Currently, 1 and 4 are unimplemented.
 use std::collections::HashSet;
 
 use crate::ssa_refactor::{
@@ -23,8 +25,10 @@ impl Ssa {
     /// 2. Inlining a block into its sole predecessor if that predecessor only has one successor.
     /// 3. Removing any block arguments for blocks with only a single predecessor.
     /// 4. Removing any blocks which have no instructions other than a single terminating jmp.
+    /// 5. Replacing any jmpifs with constant conditions with jmps. If this causes the block to have
+    ///    only 1 successor then (2) also will be applied.
     ///
-    /// Currently, only 2 and 3 are implemented.
+    /// Currently, 1 and 4 are unimplemented.
     pub(crate) fn simplify_cfg(mut self) -> Self {
         for function in self.functions.values_mut() {
             simplify_function(function);
@@ -45,6 +49,10 @@ fn simplify_function(function: &mut Function) {
             stack.extend(function.dfg[block].successors().filter(|block| !visited.contains(block)));
         }
 
+        // This call is before try_inline_into_predecessor so that if it succeeds in changing a
+        // jmpif into a jmp, the block may then be inlined entirely into its predecessor in try_inline_into_predecessor.
+        check_for_constant_jmpif(function, block, &mut cfg);
+
         let mut predecessors = cfg.predecessors(block);
 
         if predecessors.len() == 1 {
@@ -65,6 +73,26 @@ fn simplify_function(function: &mut Function) {
     }
 }
 
+/// Optimize a jmpif into a jmp if the condition is known
+fn check_for_constant_jmpif(
+    function: &mut Function,
+    block: BasicBlockId,
+    cfg: &mut ControlFlowGraph,
+) {
+    if let Some(TerminatorInstruction::JmpIf { condition, then_destination, else_destination }) =
+        function.dfg[block].terminator()
+    {
+        if let Some(constant) = function.dfg.get_numeric_constant(*condition) {
+            let destination =
+                if constant.is_zero() { *else_destination } else { *then_destination };
+
+            let jmp = TerminatorInstruction::Jmp { destination, arguments: Vec::new() };
+            function.dfg[block].set_terminator(jmp);
+            cfg.recompute_block(function, block);
+        }
+    }
+}
+
 /// If the given block has block parameters, replace them with the jump arguments from the predecessor.
 ///
 /// Currently, if this function is needed, `try_inline_into_predecessor` will also always apply,
@@ -130,7 +158,11 @@ fn try_inline_into_predecessor(
 #[cfg(test)]
 mod test {
     use crate::ssa_refactor::{
-        ir::{instruction::TerminatorInstruction, map::Id, types::Type},
+        ir::{
+            instruction::{BinaryOp, TerminatorInstruction},
+            map::Id,
+            types::Type,
+        },
         ssa_builder::FunctionBuilder,
     };
 
@@ -189,4 +221,61 @@ mod test {
             other => panic!("Unexpected terminator {other:?}"),
         }
     }
+
+    #[test]
+    fn remove_known_jmpif() {
+        // fn main {
+        //   b0(v0: u1):
+        //     v1 = eq v0, v0
+        //     jmpif v1, then: b1, else: b2
+        //   b1():
+        //     return Field 1
+        //   b2():
+        //     return Field 2
+        // }
+        let main_id = Id::test_new(0);
+        let mut builder = FunctionBuilder::new("main".into(), main_id);
+        let v0 = builder.add_parameter(Type::bool());
+
+        let b1 = builder.insert_block();
+        let b2 = builder.insert_block();
+
+        let one = builder.field_constant(1u128);
+        let two = builder.field_constant(2u128);
+
+        let v1 = builder.insert_binary(v0, BinaryOp::Eq, v0);
+        builder.terminate_with_jmpif(v1, b1, b2);
+
+        builder.switch_to_block(b1);
+        builder.terminate_with_return(vec![one]);
+
+        builder.switch_to_block(b2);
+        builder.terminate_with_return(vec![two]);
+
+        let ssa = builder.finish();
+        assert_eq!(ssa.main().reachable_blocks().len(), 3);
+
+        // Expected output:
+        // fn main {
+        //   b0():
+        //     return Field 1
+        // }
+        let ssa = ssa.simplify_cfg();
+        let main = ssa.main();
+        println!("{}", main);
+        assert_eq!(main.reachable_blocks().len(), 1);
+
+        match main.dfg[main.entry_block()].terminator() {
+            Some(TerminatorInstruction::Return { return_values }) => {
+                assert_eq!(return_values.len(), 1);
+                let return_value = main
+                    .dfg
+                    .get_numeric_constant(return_values[0])
+                    .expect("Expected return value to be constant")
+                    .to_u128();
+                assert_eq!(return_value, 1u128);
+            }
+            other => panic!("Unexpected terminator {other:?}"),
+        }
+    }
 }