Palace and Southampton are understood to be on the lookout for attacking additions in the summer transfer window, and they feel that Rhodes and Gestede would enhance their current squads considerably.
The pair have scored a combined total of 34 goals this season and look to be one of the most potent strike forces outside of the Premier League.
Blackburn are understood to be keen to keep hold of both, but without top-flight football on offer they know they may be forced to sell if a sizeable bid is tabled.
Would Rhodes and Gestede be good for Southampton?
The pair have limited Premier League experience – none at all in Rhodes’ case - but they appear to have the ability to make the step-up.
Southampton have struggled for goals this season, but this transfer could solve their attacking problems in one fell swoop.
Graziano Pelle is a fine finisher, but he needs more competition and the arrival of Rhodes and Gestede would certainly bring that.
Would Rhodes and Gestede be good for Palace?
The Blackburn duo should receive plenty of first-team action at Palace, with the Eagles still looking for a striker.
Alan Pardew has given Palace new attacking impetus and Glenn Murray has benefited the most from it, scoring six goals in his last six games.
Murray seems to have established himself as Palace's number one frontman, but Rhodes and Gestede have proved to be just as prolific as the experienced forward at Championship level and if they could have a similar impact in the top tier, then Pardew would have a very dangerous attacking arsenal from which to select.