The 29-year-old South African international has struggled to make an impact in north London since arriving from Everton for £3million last January.
A succession of injuries has meant that Pienaar's first-team action has been limited at White Hart Lane over the past 12 months, with Aaron Lennon and Gareth Bale the first-choice wingers at Spurs.
Pienaar was recently linked with a £5million move to Sunderland, as well as a potential return to Goodison Park, and speculation surrounding his imminent departure increased after the midfielder was missing entirely from the Tottenham squad in the midweek Barclays Premier League victory over West Brom.
However, Redknapp revealed that Pienaar was missing with a virus, and is expected to return for this weekend's FA Cup clash with Cheltenham, before offering his support for a player that is frustrated by his lack of match action.
"I'm sure he wants to play," said the sympathetic Spurs boss. "He had a virus, he wasn't well, otherwise he would have been on the bench.
"We haven't had any approaches for him, not at the moment."