The 34-year-old captain suffered an ankle injury in Tuesday night's Champions League win at Maccabi Tel Aviv and afterwards Mourinho appeared to rule the defender out of Sunday's trip to White Hart Lane.
"I don't want to say that it's impossible that he plays, because maybe he plays and you'll say I was hiding," Mourinho said.
"Today he didn't train but we have a little hope that it's possible."
Midfielder Ramires is a major doubt, too, having missed the Champions League tie with an undisclosed injury sustained in training in Israel on Monday.
Cesc Fabregas, though, is fit despite revealing a toe injury after the Maccabi win.
Tottenham are unbeaten in 12 matches, since the opening day of the season, and Mourinho believes Mauricio Pochettino's men could win the title.
"When I watch them play it's not a surprise for me," said Mourinho, of Spurs' unbeaten run.
"If they say they are fighting for the title, I would not laugh
I would accept it because the team is very good."
Source : PA