The United defender will play his second game in a week for United's reserves on Thursday evening and if he comes through that unscathed then he will be named in the squad for the Spurs match.
"Wes will play for the Reserves on Thursday night which will be his second game since returning from injury," United boss Sir Alex said.
"We'll give him one half and he could be involved on Saturday."
Brown's return is a timely boost for the United boss who revealed after the home win against Portsmouth on Wednesday night that John O'Shea and Gary Neville will be sidelined for several weeks after sustaining injuries in the 2-0 win aganst Paul Hart's side.