Jamie O'Hara could leave White Hart Lane on loan in January
Despite the Hammers residing in the relegation zone for the majority of this season, Parker has consistently produced outstanding performances.
The 30-year-old has been linked with a transfer to White Hart Lane for a while, but Redknapp believes a move will not happen despite admitting that he is looking to reinforce his midfield.
"I like Parker, but he belongs to West Ham," he told the Sunday Mirror.
“We haven't made any move for him. He will be 31 next birthday and they will want £15million. [Chairman] Daniel [Levy] wouldn't buy players of that age, on big wages with no sell-on."
“Midfield is the only area where I don't have many options, we are really short there."
However, despite Redknapp's proclaimed shortage of midfielders, the Spurs boss believes that Jamie O'Hara could leave the club in the January transfer window on a loan deal.
The 24-year-old is recovering from a back injury that has sidelined him all season and is reported to be interesting West Ham boss Avram Grant, with whom he played under whilst on loan at Portsmouth last season.
Redknapp suggested that O'Hara would benefit from gaining playing time away from White Hart Lane as he steps up his recovery, rather than sit on the bench at Tottenham.
"O'Hara needs to play. He would do a good job for someone in the Premier League," he said.
“He would be better off playing somewhere than not playing.”