# Limitations of Newton's law of cooling?

My textbook states the following:

"One of the limitations of Newton's law of cooling is that this law holds true only if the temperature of the surroundings remains constant throughout the cooling if the body."

But how can this hold true in any scenario? The body is losing thermal energy(and thus decreasing its temperature)via radiation to the surroundings. Hence, the surroundings must absorb this energy and increase its temperature. How is it possible for the surroundings to maintain constant temperature during the cooling?