Lingard has scored six goals and bagged four assists in eight league games since he joined West Ham on loan in January and has been powering their attempt to finish in the top four.
He scored once more and provided an assist in West Ham’s 3-2 win over Wolves on Monday night and the Hammers are expected to try and sign him on a permanent contract in the summer.
But Jordan stressed that he does not envisage a situation where Lingard ends up at West Ham on a permanent deal in the next transfer window.
He believes West Ham will struggle financially to put together a deal as the attacking midfielder’s stock has only risen in the last few months.
The former Palace chairman also feels Manchester United could further add millions to Lingard’s value by getting him to sign a new contract.
Jordan said on talkSPORT: “Not a chance [West Ham get Lingard in the summer].
“I just don’t see a parallel universe where they get Lingard to West Ham or they get the economics of the Lingard deal to West Ham.
“What West Ham have achieved is putting Lingard back on the map, giving Lingard a stage where he can play at a level he is clearly capable of.
“And all that we do is increase the cost implications of getting him in the first place.
“Well fine, Man United will say you can go there if you want to [but for] £60m and there ends the discussion.
“Then maybe it will be £30m or £40m [due to his contract situation] or maybe Man United will do a deal with Lingard that involves him signing a new long term contract with Manchester United to protect their interest.”
It remains to be seen whether Lingard’s performances at West Ham convince Ole Gunnar Solskjaer to give him another chance at Manchester United this summer.