diff --git a/crates/prover/src/core/backend/simd/lookups/mle.rs b/crates/prover/src/core/backend/simd/lookups/mle.rs
new file mode 100644
index 000000000..10339a87d
--- /dev/null
+++ b/crates/prover/src/core/backend/simd/lookups/mle.rs
@@ -0,0 +1,170 @@
+use std::iter::zip;
+
+use num_traits::{One, Zero};
+
+use crate::core::backend::simd::column::SecureFieldVec;
+use crate::core::backend::simd::m31::{PackedBaseField, N_LANES};
+use crate::core::backend::simd::qm31::PackedSecureField;
+use crate::core::backend::simd::SimdBackend;
+use crate::core::backend::{Column, CpuBackend};
+use crate::core::fields::m31::BaseField;
+use crate::core::fields::qm31::SecureField;
+use crate::core::lookups::mle::{Mle, MleOps};
+use crate::core::lookups::sumcheck::MultivariatePolyOracle;
+use crate::core::lookups::utils::UnivariatePoly;
+
+impl MleOps<BaseField> for SimdBackend {
+    fn fix_first_variable(
+        mle: Mle<Self, BaseField>,
+        assignment: SecureField,
+    ) -> Mle<Self, SecureField> {
+        let midpoint = mle.len() / 2;
+
+        // Use CPU backend to to prevent dealing with instances smaller than `PackedSecureField`.
+        if midpoint < N_LANES {
+            let cpu_mle = Mle::<CpuBackend, BaseField>::new(mle.to_cpu());
+            let cpu_res = cpu_mle.fix_first_variable(assignment);
+            return Mle::new(cpu_res.into_evals().into_iter().collect());
+        }
+
+        let packed_assignment = PackedSecureField::broadcast(assignment);
+        let packed_midpoint = midpoint / N_LANES;
+        let (lhs_evals, rhs_evals) = mle.data.split_at(packed_midpoint);
+
+        let res = zip(lhs_evals, rhs_evals)
+            .map(|(&packed_lhs_eval, &packed_rhs_eval)| {
+                fold_packed_mle_evals(packed_assignment, packed_lhs_eval, packed_rhs_eval)
+            })
+            .collect();
+
+        Mle::new(res)
+    }
+}
+
+impl MleOps<SecureField> for SimdBackend {
+    fn fix_first_variable(
+        mle: Mle<Self, SecureField>,
+        assignment: SecureField,
+    ) -> Mle<Self, SecureField> {
+        let midpoint = mle.len() / 2;
+
+        // Use CPU backend to to prevent dealing with instances smaller than `PackedSecureField`.
+        if midpoint < N_LANES {
+            let cpu_mle = Mle::<CpuBackend, SecureField>::new(mle.to_cpu());
+            let cpu_res = cpu_mle.fix_first_variable(assignment);
+            return Mle::new(cpu_res.into_evals().into_iter().collect());
+        }
+
+        let packed_midpoint = midpoint / N_LANES;
+        let packed_assignment = PackedSecureField::broadcast(assignment);
+        let mut packed_evals = mle.into_evals().data;
+
+        for i in 0..packed_midpoint {
+            let packed_lhs_eval = packed_evals[i];
+            let packed_rhs_eval = packed_evals[i + packed_midpoint];
+            packed_evals[i] =
+                fold_packed_mle_secure_evals(packed_assignment, packed_lhs_eval, packed_rhs_eval);
+        }
+
+        packed_evals.truncate(packed_midpoint);
+
+        let length = packed_evals.len() * N_LANES;
+        let data = packed_evals;
+
+        Mle::new(SecureFieldVec { data, length })
+    }
+}
+
+impl MultivariatePolyOracle for Mle<SimdBackend, SecureField> {
+    fn n_variables(&self) -> usize {
+        self.n_variables()
+    }
+
+    fn sum_as_poly_in_first_variable(&self, claim: SecureField) -> UnivariatePoly<SecureField> {
+        let x0 = SecureField::zero();
+        let x1 = SecureField::one();
+
+        let midpoint = self.len() / 2;
+
+        // Use CPU backend to to prevent dealing with instances smaller than `PackedSecureField`.
+        if midpoint < N_LANES {
+            let cpu_mle = Mle::<CpuBackend, SecureField>::new(self.to_cpu());
+            return cpu_mle.sum_as_poly_in_first_variable(claim);
+        }
+
+        let packed_midpoint = midpoint / N_LANES;
+
+        let y0 = self.data[..packed_midpoint]
+            .iter()
+            .sum::<PackedSecureField>()
+            .pointwise_sum();
+        let y1 = claim - y0;
+
+        UnivariatePoly::interpolate_lagrange(&[x0, x1], &[y0, y1])
+    }
+
+    fn fix_first_variable(self, challenge: SecureField) -> Self {
+        self.fix_first_variable(challenge)
+    }
+}
+
+/// Computes all `eq(0, assignment_i) * lhs_eval_i + eq(1, assignment_i) * rhs_eval_i`.
+fn fold_packed_mle_evals(
+    packed_assignment: PackedSecureField,
+    packed_eval0: PackedBaseField,
+    packed_eval1: PackedBaseField,
+) -> PackedSecureField {
+    packed_assignment * (packed_eval1 - packed_eval0) + packed_eval0
+}
+
+/// Computes all `eq(0, assignment_i) * lhs_eval_i + eq(1, assignment_i) * rhs_eval_i`.
+// TODO: Consider unifying fold_packed_mle_* functions once we have something like
+// AbstractField/AbstractExtensionField traits implemented on packed types.
+fn fold_packed_mle_secure_evals(
+    packed_assignment: PackedSecureField,
+    packed_eval0: PackedSecureField,
+    packed_eval1: PackedSecureField,
+) -> PackedSecureField {
+    packed_assignment * (packed_eval1 - packed_eval0) + packed_eval0
+}
+
+#[cfg(test)]
+mod tests {
+    use itertools::Itertools;
+
+    use crate::core::backend::simd::SimdBackend;
+    use crate::core::backend::{Column, CpuBackend};
+    use crate::core::channel::Channel;
+    use crate::core::fields::m31::BaseField;
+    use crate::core::fields::qm31::SecureField;
+    use crate::core::lookups::mle::Mle;
+    use crate::core::test_utils::test_channel;
+
+    #[test]
+    fn fix_first_variable_with_secure_field_mle_matches_cpu() {
+        const N_VARIABLES: u32 = 8;
+        let values = test_channel().draw_felts(1 << N_VARIABLES);
+        let mle_simd = Mle::<SimdBackend, SecureField>::new(values.iter().copied().collect());
+        let mle_cpu = Mle::<CpuBackend, SecureField>::new(values);
+        let random_assignment = SecureField::from_u32_unchecked(7, 12, 3, 2);
+        let mle_fixed_cpu = mle_cpu.fix_first_variable(random_assignment);
+
+        let mle_fixed_simd = mle_simd.fix_first_variable(random_assignment);
+
+        assert_eq!(mle_fixed_simd.into_evals().to_cpu(), *mle_fixed_cpu)
+    }
+
+    #[test]
+    fn fix_first_variable_with_base_field_mle_matches_cpu() {
+        const N_VARIABLES: u32 = 8;
+        let values = (0..1 << N_VARIABLES).map(BaseField::from).collect_vec();
+        let mle_simd = Mle::<SimdBackend, BaseField>::new(values.iter().copied().collect());
+        let mle_cpu = Mle::<CpuBackend, BaseField>::new(values);
+        let random_assignment = SecureField::from_u32_unchecked(7, 12, 3, 2);
+        let mle_fixed_cpu = mle_cpu.fix_first_variable(random_assignment);
+
+        let mle_fixed_simd = mle_simd.fix_first_variable(random_assignment);
+
+        assert_eq!(mle_fixed_simd.into_evals().to_cpu(), *mle_fixed_cpu)
+    }
+}
diff --git a/crates/prover/src/core/backend/simd/lookups/mod.rs b/crates/prover/src/core/backend/simd/lookups/mod.rs
new file mode 100644
index 000000000..1c1a481ae
--- /dev/null
+++ b/crates/prover/src/core/backend/simd/lookups/mod.rs
@@ -0,0 +1 @@
+mod mle;
diff --git a/crates/prover/src/core/backend/simd/mod.rs b/crates/prover/src/core/backend/simd/mod.rs
index eaf49557d..b83ce2d60 100644
--- a/crates/prover/src/core/backend/simd/mod.rs
+++ b/crates/prover/src/core/backend/simd/mod.rs
@@ -8,6 +8,7 @@ pub mod cm31;
 pub mod column;
 pub mod fft;
 pub mod fri;
+pub mod lookups;
 pub mod m31;
 pub mod qm31;
 pub mod quotients;