diff --git a/src/field.h b/src/field.h
index 55679a2fc..80a0e7a6a 100644
--- a/src/field.h
+++ b/src/field.h
@@ -32,6 +32,8 @@
 #error "Please select wide multiplication implementation"
 #endif
 
+static const secp256k1_fe secp256k1_fe_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
+
 /** Normalize a field element. This brings the field element to a canonical representation, reduces
  *  its magnitude to 1, and reduces it modulo field size `p`.
  */
diff --git a/src/field_impl.h b/src/field_impl.h
index 374284a1f..0a4a04d9a 100644
--- a/src/field_impl.h
+++ b/src/field_impl.h
@@ -135,6 +135,4 @@ static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) {
     return secp256k1_fe_equal(&t1, a);
 }
 
-static const secp256k1_fe secp256k1_fe_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
-
 #endif /* SECP256K1_FIELD_IMPL_H */
diff --git a/src/group_impl.h b/src/group_impl.h
index f02891de7..1bb859efb 100644
--- a/src/group_impl.h
+++ b/src/group_impl.h
@@ -494,7 +494,6 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a,
 
 static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b) {
     /* Operations: 7 mul, 5 sqr, 4 normalize, 21 mul_int/add/negate/cmov */
-    static const secp256k1_fe fe_1 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
     secp256k1_fe zz, u1, u2, s1, s2, t, tt, m, n, q, rr;
     secp256k1_fe m_alt, rr_alt;
     int infinity, degenerate;
@@ -610,7 +609,7 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const
     /** In case a->infinity == 1, replace r with (b->x, b->y, 1). */
     secp256k1_fe_cmov(&r->x, &b->x, a->infinity);
     secp256k1_fe_cmov(&r->y, &b->y, a->infinity);
-    secp256k1_fe_cmov(&r->z, &fe_1, a->infinity);
+    secp256k1_fe_cmov(&r->z, &secp256k1_fe_one, a->infinity);
     r->infinity = infinity;
 }