The summer arrival of Emmanuel Adebayor, and last year's purchase of Rafael van der Vaart from Real Madrid, has caused Pavlyuchenko to drop down to fourth in the pecking order of frontmen at White Hart Lane.
The fact that Adebayor and Jermain Defoe have struck up a good partnership since the former signed on loan from Manchester City means Pavlyuchenko's chances of making the first team look more bleak than ever, and the player himself recently admitted he could leave in January if he does not start more games.
The 29-year-old, who signed from Spartak Moscow in 2008, has scored just once in four starts this year and a number of Russian clubs are thought to be monitoring his availability after contract talks stalled.
Pavlyuchenko will have a chance to impress potential suitors when he lines up against Russian team Rubin Kazan in Thursday's Europa League Group A clash at White Hart Lane.
Redknapp is not actively seeking to offload Pavlyuchenko in January, but concedes he would have to let him go if the forward pushed for a move.
"If he wanted to go and it was a good offer, then we would look at that, for sure," Redknapp said.
"He's not a player that I'm looking to move. I like him. He's a good person, good player. I hope he can have a good season."
Despite his warm words about what Pavlyuchenko can offer the team, Redknapp made it clear that the Russian has to step up his game to convince him he is worthy of selection ahead of Defoe, Adebayor and Van der Vaart.
"He has to work hard every game. He has to be more consistent," Redknapp added.
"He didn't have a great pre-season. He hasn't shown enough this year to be in the team.
"He can score goals, and maybe if he goes on a run, gets an opportunity and score some goals for us."
Redknapp has a big injury crisis in defence for Thursday's Group A match at White Hart Lane.
Sebastien Bassong and Younes Kaboul are Spurs' only two fit centre-halves after Ledley King joined Michael Dawson, William Gallas and Vedran Corluka on the club's injury list due to suffering a groin tear in Sunday's 2-2 draw at Newcastle.
Kaboul has been a rock at the heart of the Spurs defence this season, and for that reason Redknapp is considering resting the former Portsmouth centre-back tomorrow, and deploying midfielder Jake Livermore at the back instead.
"It's going to be a difficult one to play Kaboul tomorrow. If he gets injured, I've got no central defenders (apart from Bassong)," Redknapp said. "Maybe Jake Livermore could play there tomorrow at a pinch, with one of the centre-halves, probably with Bassong.
"I've got to keep one of them fit."
With his team fighting for honours domestically and in the Europa League this year, Redknapp revealed today that he has moved to ease fears about long-term injuries creeping in to his team by employing yoga gurus - one of which Brad Friedel brought to the club following his summer move from Aston Villa.
Friedel, 40, has been using his instructor for nine years, and she now takes classes for the squad, and coaching staff, prior to training.
It may be a surprising move by a man considered the most archetypal English manager in the top flight, but Redknapp revealed himself to be a big fan of the exercises today.
"It's fantastic. We have been getting in to doing the yoga and I think pilates is just an amazing thing," the Spurs boss said.
"I joined in. I don't know what I was doing, but it wasn't very good.
"I know she tried to get my leg up and I couldn't do it so she lifted it and I felt my back go.
"I had sciatica for the next three nights so I went missing when they were doing it yesterday."