Scot doesn't think England striker's injury is serious...
The striker is carrying a minor groin tear, which forced him to sit out of the club's friendly win over Fiorentina on Friday night.
The England international was also not picked for Fabio Capello's squad for the first post-World Cup friendly against Hungary at Wembley Stadium on Wednesday night.
However, Jordan hopes Defoe can recover in time for the club's first two competitive matches next week.
Along with facing City at White Hart Lane, Tottenham face Swiss side Young Boys in the first leg of the Champions League play-off round on August 17.
"I don't think it is anything serious," Jordan said.
"Jermain went for a scan and there is an ever so slight tear there.
"It is more precaution than anything. I think he should be all right.
"We have had to hold him back. He was desperate to train in the latter part of last week but he was pulled out.
"We are hoping that some time this week he will be back in training with the lads."
Jordan was speaking at Hampden Park in Glasgow to promote ESPN's live coverage of the Scotland-Sweden friendly in Stockholm on Wednesday and the start of the Scottish Premier League and Premier League seasons this weekend.