diff --git a/yjit/src/backend/arm64/mod.rs b/yjit/src/backend/arm64/mod.rs
index 9787b1a4e9..a74e5cf0ff 100644
--- a/yjit/src/backend/arm64/mod.rs
+++ b/yjit/src/backend/arm64/mod.rs
@@ -1079,6 +1079,9 @@ impl Assembler
                 Insn::Jl(target) => {
                     emit_conditional_jump::<{Condition::LT}>(cb, compile_side_exit(*target, self, ocb));
                 },
+                Insn::Jg(target) => {
+                    emit_conditional_jump::<{Condition::GT}>(cb, compile_side_exit(*target, self, ocb));
+                },
                 Insn::Jbe(target) => {
                     emit_conditional_jump::<{Condition::LS}>(cb, compile_side_exit(*target, self, ocb));
                 },
diff --git a/yjit/src/backend/ir.rs b/yjit/src/backend/ir.rs
index a28c833e89..72a4bc711b 100644
--- a/yjit/src/backend/ir.rs
+++ b/yjit/src/backend/ir.rs
@@ -432,6 +432,9 @@ pub enum Insn {
     /// Jump if lower
     Jl(Target),
 
+    /// Jump if greater
+    Jg(Target),
+
     // Unconditional jump to a branch target
     Jmp(Target),
 
@@ -578,6 +581,7 @@ impl Insn {
             Insn::Jbe(_) => "Jbe",
             Insn::Je(_) => "Je",
             Insn::Jl(_) => "Jl",
+            Insn::Jg(_) => "Jg",
             Insn::Jmp(_) => "Jmp",
             Insn::JmpOpnd(_) => "JmpOpnd",
             Insn::Jne(_) => "Jne",
@@ -725,6 +729,7 @@ impl<'a> Iterator for InsnOpndIterator<'a> {
             Insn::Jbe(_) |
             Insn::Je(_) |
             Insn::Jl(_) |
+            Insn::Jg(_) |
             Insn::Jmp(_) |
             Insn::Jne(_) |
             Insn::Jnz(_) |
@@ -822,6 +827,7 @@ impl<'a> InsnOpndMutIterator<'a> {
             Insn::Jbe(_) |
             Insn::Je(_) |
             Insn::Jl(_) |
+            Insn::Jg(_) |
             Insn::Jmp(_) |
             Insn::Jne(_) |
             Insn::Jnz(_) |
diff --git a/yjit/src/backend/x86_64/mod.rs b/yjit/src/backend/x86_64/mod.rs
index b40d8b2382..0cc276fca1 100644
--- a/yjit/src/backend/x86_64/mod.rs
+++ b/yjit/src/backend/x86_64/mod.rs
@@ -673,6 +673,14 @@ impl Assembler
                     }
                 },
 
+                Insn::Jg(target) => {
+                    match compile_side_exit(*target, self, ocb) {
+                        Target::CodePtr(code_ptr) | Target::SideExitPtr(code_ptr) => jg_ptr(cb, code_ptr),
+                        Target::Label(label_idx) => jg_label(cb, label_idx),
+                        Target::SideExit { .. } => unreachable!("Target::SideExit should have been compiled by compile_side_exit"),
+                    }
+                },
+
                 Insn::Jbe(target) => {
                     match compile_side_exit(*target, self, ocb) {
                         Target::CodePtr(code_ptr) | Target::SideExitPtr(code_ptr) => jbe_ptr(cb, code_ptr),
diff --git a/yjit/src/codegen.rs b/yjit/src/codegen.rs
index f65ffefe5a..204726181d 100644
--- a/yjit/src/codegen.rs
+++ b/yjit/src/codegen.rs
@@ -4325,6 +4325,45 @@ fn jit_rb_int_div(
     true
 }
 
+/*
+fn jit_rb_int_lshift(
+    jit: &mut JITState,
+    asm: &mut Assembler,
+    ocb: &mut OutlinedCb,
+    _ci: *const rb_callinfo,
+    _cme: *const rb_callable_method_entry_t,
+    _block: Option<IseqPtr>,
+    _argc: i32,
+    _known_recv_class: *const VALUE,
+) -> bool {
+    if asm.ctx.two_fixnums_on_stack(jit) != Some(true) {
+        return false;
+    }
+    guard_two_fixnums(jit, asm, ocb);
+
+    let rhs = asm.stack_pop(1);
+    let lhs = asm.stack_pop(1);
+
+    // Ruby supports using a negative shift value
+    asm.comment("Guard shift negative");
+    let shift_val = asm.sub(rhs, 1.into());
+    asm.cmp(shift_val, 0.into());
+    asm.jl(Target::side_exit(Counter::lshift_range));
+
+    asm.cmp(shift_val, 63.into());
+    asm.jg(Target::side_exit(Counter::lshift_range));
+
+    // FIXME: we don't yet support shift with non-immediate values in the backend
+    // Do the shifting
+    let out_val = asm.lshift(lhs, shift_val);
+    asm.jo(Target::side_exit(Counter::lshift_overflow));
+
+    let ret_opnd = asm.stack_push(Type::Fixnum);
+    asm.mov(ret_opnd, out_val);
+    true
+}
+*/
+
 fn jit_rb_int_aref(
     jit: &mut JITState,
     asm: &mut Assembler,
@@ -8371,6 +8410,7 @@ impl CodegenGlobals {
 
             self.yjit_reg_method(rb_cInteger, "*", jit_rb_int_mul);
             self.yjit_reg_method(rb_cInteger, "/", jit_rb_int_div);
+            //self.yjit_reg_method(rb_cInteger, "<<", jit_rb_int_lshift);
             self.yjit_reg_method(rb_cInteger, "[]", jit_rb_int_aref);
 
             // rb_str_to_s() methods in string.c
diff --git a/yjit/src/stats.rs b/yjit/src/stats.rs
index 5da15198b1..b1773df359 100644
--- a/yjit/src/stats.rs
+++ b/yjit/src/stats.rs
@@ -335,6 +335,9 @@ make_counters! {
     opt_mod_zero,
     opt_div_zero,
 
+    lshift_range,
+    lshift_overflow,
+
     opt_aref_argc_not_one,
     opt_aref_arg_not_fixnum,
     opt_aref_not_array,