That's the view of BBC pundit Garth Crooks.
The Frenchman has impressed with the Eagles since his switch, conceding just one goal in his first four matches.
Mamadou Sakho has impressed on loan at Crystal Palace
Liverpool stars meet at Anfield ahead of Bournemouth clash
Wed, April 5, 2017
Liverpool stars were snapped meeting at Anfield this afternoon before heading off into the city centre to their team hotel before facing Bournemouth tonight
CHRIS NEILL/MAVERICK PHOTOGRAPHY
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Daniel Sturridge arrived at Anfield in his massive Rolls-Royce
Reports suggest Liverpool will look to sell Sakho for around £30m in the summer with Klopp not planning to retain his services.
But Crooks reckons the German may have a change of heart if Liverpool need more depth to their squad to compete in the Champions League next season.
"The big question for Allardyce and Palace is can they lure the Frenchman away from Liverpool and get him to play for Palace on a permanent basis?" Crooks told the BBC.
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Jurgen Klopp must make a decision on Mamadou Sakho's future in the summer
Liverpool line-up predicted to face Bournemouth
Mon, April 3, 2017
Click through the gallery for the predicted Liverpool line-up to face Bournemouth
Liverpool FC via Getty Images
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Click through the gallery for the predicted Liverpool line-up to face Bournemout
"If Liverpool were to get a top four place, and their chances seem to improve with every game, I can see Jurgen Klopp seriously thinking about retaining the services of the player to bolster his squad."
Liverpool sit third in the table, five points clear of fifth-placed Manchester United.