The paper claims Harry, 26, doesn’t want to commit to any relationship while he’s in the midst of getting “combat ready” in his helicopter training – though he did enjoy spending time with Brudenell-Bruce, 25, this summer.
A source close to the royal family tells PEOPLE, “He is so focused on the army and seems intent of going back to the war zone.”
The prince and the lingerie model, whose nickname is Flee, have not been seen publicly together since they were first said to be dating in late June.
Two weeks ago, Harry visited Majorca with some friends and was on vacation in the U.K. before returning to his Army Air Corps base.
In the final stages of learning to pilot Apache attack helicopters, the prince is headed to Arizona, where he’ll remain until the Christmas holidays in order to train over the rocky, desert terrain.