Warm the enchilada sauce in a small saucepan over low heat.
In a small frying pan, add oil to coat bottom of pan and warm over high heat until hot and shimmering, about 2-3 minutes.
Using tongs, dip 1 tortilla in oil for 5 seconds, flip tortilla over and heat for another 5 seconds.
Remove from oil and drain well on paper towels. Repeat with remaining tortillas.
One by one, dip tortillas in enchilada sauce, insuring that both sides are coated.
Place about 1/4 cup of cheese in center of tortilla and roll up like a taquito. If desired, place on a heat-proof plate and keep warm in oven at 250°F while filling and rolling remaining enchiladas.