According to a report in The Daily Record, Preston North End and Sheffield United were interested in signing the former Aston Villa winger.
Nothing materialised, and the 30-year-old former Chelsea and Manchester City winger is still at Celtic Park.
Celtic manager Lennon has said that there was interest in Sinclair last week, and he has also stated that the winger is struggling to get into the starting lineup.
Lennon told The Scottish Sun: "There was interest but nothing materialised, so we carry on as normal.”
The Celtic boss added: “He’s been unfortunate at the moment that he’s finding it difficult to nail down a place because of the form of others.”
Future in doubt?
Sinclair has been on the books of Celtic since the summer of 2016 when he joined from Villa for an transfer fee reported by The Guardian to be worth £3 million.
The winger was superb for the Hoops in his debut season, but since then, there have been signs that he has not been at his best.
Sinclair is struggling to re-estabish himself in the Celtic starting lineup at the moment, and perhaps if things do not improve in the coming weeks and months, then he could be tempted to leave the Hoops in the January transfer window.
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