diff --git a/pylops/utils/backend.py b/pylops/utils/backend.py
index 31836265..9b7d3b2d 100644
--- a/pylops/utils/backend.py
+++ b/pylops/utils/backend.py
@@ -17,10 +17,8 @@
     "get_sp_fft",
     "get_complex_dtype",
     "get_real_dtype",
-    "to_cupy",
     "to_numpy",
     "to_cupy_conditional",
-    "to_numpy_conditional",
     "inplace_set",
     "inplace_add",
     "inplace_multiply",
@@ -486,26 +484,6 @@ def get_real_dtype(dtype: DTypeLike) -> DTypeLike:
     return np.real(np.ones(1, dtype)).dtype
 
 
-def to_cupy(x: NDArray) -> NDArray:
-    """Convert x to cupy array
-
-    Parameters
-    ----------
-    x : :obj:`numpy.ndarray` or :obj:`cupy.ndarray`
-        Array to evaluate
-
-    Returns
-    -------
-    x : :obj:`numpy.ndarray`
-        Converted array
-
-    """
-    if deps.cupy_enabled:
-        if cp.get_array_module(x) == np:
-            x = cp.asarray(x)
-    return x
-
-
 def to_numpy(x: NDArray) -> NDArray:
     """Convert x to numpy array
 
@@ -549,28 +527,6 @@ def to_cupy_conditional(x: npt.ArrayLike, y: npt.ArrayLike) -> NDArray:
     return y
 
 
-def to_numpy_conditional(x: npt.ArrayLike, y: npt.ArrayLike) -> NDArray:
-    """Convert y to numpy array conditional to x being a numpy array
-
-    Parameters
-    ----------
-    x : :obj:`numpy.ndarray` or :obj:`cupy.ndarray`
-        Array to evaluate
-    y : :obj:`numpy.ndarray`
-        Array to convert
-
-    Returns
-    -------
-    y : :obj:`cupy.ndarray`
-        Converted array
-
-    """
-    if deps.cupy_enabled:
-        if cp.get_array_module(x) == np and cp.get_array_module(y) == cp:
-            y = cp.asnumpy(y)
-    return y
-
-
 def inplace_set(x: npt.ArrayLike, y: npt.ArrayLike, idx: list) -> NDArray:
     """Perform inplace set based on input