diff --git a/src/field.h b/src/field.h
index ccb4327ee..64ceead4d 100644
--- a/src/field.h
+++ b/src/field.h
@@ -85,6 +85,9 @@ static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a);
  *  as an argument. The magnitude of the output is one higher. */
 static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m);
 
+/** Adds a small integer (up to 0x7FFF) to r. The resulting magnitude increases by one. */
+static void secp256k1_fe_add_int(secp256k1_fe *r, int a);
+
 /** Multiplies the passed field element with a small integer constant. Multiplies the magnitude by that
  *  small integer. */
 static void secp256k1_fe_mul_int(secp256k1_fe *r, int a);
diff --git a/src/field_10x26_impl.h b/src/field_10x26_impl.h
index 72c56df02..46b72ce78 100644
--- a/src/field_10x26_impl.h
+++ b/src/field_10x26_impl.h
@@ -482,6 +482,20 @@ SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_f
 #endif
 }
 
+SECP256K1_INLINE static void secp256k1_fe_add_int(secp256k1_fe *r, int a) {
+#ifdef VERIFY
+    secp256k1_fe_verify(r);
+    VERIFY_CHECK(a >= 0);
+    VERIFY_CHECK(a <= 0x7FFF);
+#endif
+    r->n[0] += a;
+#ifdef VERIFY
+    r->magnitude += 1;
+    r->normalized = 0;
+    secp256k1_fe_verify(r);
+#endif
+}
+
 #if defined(USE_EXTERNAL_ASM)
 
 /* External assembler implementation */
diff --git a/src/field_5x52_impl.h b/src/field_5x52_impl.h
index 538991c7a..4c4466ece 100644
--- a/src/field_5x52_impl.h
+++ b/src/field_5x52_impl.h
@@ -425,6 +425,20 @@ SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) {
 #endif
 }
 
+SECP256K1_INLINE static void secp256k1_fe_add_int(secp256k1_fe *r, int a) {
+#ifdef VERIFY
+    secp256k1_fe_verify(r);
+    VERIFY_CHECK(a >= 0);
+    VERIFY_CHECK(a <= 0x7FFF);
+#endif
+    r->n[0] += a;
+#ifdef VERIFY
+    r->magnitude += 1;
+    r->normalized = 0;
+    secp256k1_fe_verify(r);
+#endif
+}
+
 SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) {
 #ifdef VERIFY
     secp256k1_fe_verify(a);
diff --git a/src/group_impl.h b/src/group_impl.h
index 111ee68ba..82ce3f8d8 100644
--- a/src/group_impl.h
+++ b/src/group_impl.h
@@ -227,7 +227,7 @@ static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int o
     secp256k1_fe_sqr(&x2, x);
     secp256k1_fe_mul(&x3, x, &x2);
     r->infinity = 0;
-    secp256k1_fe_add(&x3, &secp256k1_fe_const_b);
+    secp256k1_fe_add_int(&x3, SECP256K1_B);
     if (!secp256k1_fe_sqrt(&r->y, &x3)) {
         return 0;
     }
@@ -282,7 +282,7 @@ static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) {
     /* y^2 = x^3 + 7 */
     secp256k1_fe_sqr(&y2, &a->y);
     secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x);
-    secp256k1_fe_add(&x3, &secp256k1_fe_const_b);
+    secp256k1_fe_add_int(&x3, SECP256K1_B);
     secp256k1_fe_normalize_weak(&x3);
     return secp256k1_fe_equal_var(&y2, &x3);
 }
diff --git a/src/tests.c b/src/tests.c
index e80397cb9..1c0d79734 100644
--- a/src/tests.c
+++ b/src/tests.c
@@ -3093,6 +3093,7 @@ static void run_field_misc(void) {
     secp256k1_fe y;
     secp256k1_fe z;
     secp256k1_fe q;
+    int v;
     secp256k1_fe fe5 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 5);
     int i, j;
     for (i = 0; i < 1000 * COUNT; i++) {
@@ -3103,6 +3104,14 @@ static void run_field_misc(void) {
             random_fe_test(&x);
         }
         random_fe_non_zero(&y);
+        v = secp256k1_testrand_bits(15);
+        /* Test that fe_add_int is equivalent to fe_set_int + fe_add. */
+        secp256k1_fe_set_int(&q, v); /* q = v */
+        z = x; /* z = x */
+        secp256k1_fe_add(&z, &q); /* z = x+v */
+        q = x; /* q = x */
+        secp256k1_fe_add_int(&q, v); /* q = x+v */
+        CHECK(check_fe_equal(&q, &z));
         /* Test the fe equality and comparison operations. */
         CHECK(secp256k1_fe_cmp_var(&x, &x) == 0);
         CHECK(secp256k1_fe_equal_var(&x, &x));
@@ -3371,7 +3380,7 @@ static void test_inverse_field(secp256k1_fe* out, const secp256k1_fe* x, int var
     (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&r, &r);   /* r = 1/(x-1) */
     secp256k1_fe_add(&l, &fe_minus_one);                       /* l = 1/x-1 */
     (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&l, &l);   /* l = 1/(1/x-1) */
-    secp256k1_fe_add(&l, &secp256k1_fe_one);                   /* l = 1/(1/x-1)+1 */
+    secp256k1_fe_add_int(&l, 1);                               /* l = 1/(1/x-1)+1 */
     secp256k1_fe_add(&l, &r);                                  /* l = 1/(1/x-1)+1 + 1/(x-1) */
     CHECK(secp256k1_fe_normalizes_to_zero_var(&l));            /* l == 0 */
 }