The newly promoted side have scored just 10 times in the Premier League this season, with speculation linking the manager with interest in the prolific Blackburn striker
The addition of a regular goalscorer such as Rhodes - who has plundered 37 goals in 62 league games for Blackburn - would improve a squad who have netted just 10 times this season.
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The Palace manager, who took charge at Selhurst Park last month, said: "We'll get linked with every Tom, Dick and Harry from now until the window closes, I should imagine.
"We couldn't afford Jordan Rhodes."
Pulis has forged a reputation for being able to move successfully in the transfer market, having signed the likes of Ryan Shawcross from Manchester United for around £1m during his time in charge of Stoke City and then helped to nurture his talent.
The Welshman added: "There has to be a certain change around, it's just how much and what we can do in that change around that will determine our season.
"The players have been fantastic, the attitude around the club has been brilliant, but we do need some help and we do need to improve."