Eriksen is out of contract after his six-month deal with Brentford expired but the Danish international has not been short of suitors since making a miraculous comeback in January, following a cardiac arrest at Euro 2020 last summer.
Brentford would like Eriksen to extend his stay in west London while former club Tottenham and Newcastle have both reportedly shown an interest.
Manchester United, under the gaze of new boss Erik ten Hag, are thought to be leading the race for the 30-year-old, but Jordan doesn't believe that choosing them is the formality for players that it used to be.
"The question of Eriksen going to Manchester United is an interesting one because Man United are in a state of flux," Jordan told talkSPORT.
"Whilst Eriksen has been incredibly successful with Brentford - that's one thing at the end of the table where you're fighting for survival - he made a very big difference in a side that was in decline.
"And of course whilst Manchester United are in decline, going to Manchester United with that evolution or revolution or whatever Ten Hag is going to produce, may not mean he's going to be a particularly front and centre player.
"So I'm not entirely sure why he would turn down Man United but I'm not entirely sure that Manchester United was the right move."
Jordan urged Eriksen to take his time with the decision and not to rule out Brentford's proposal, given the Bees offered him the opportunity to return to top-level football when nobody else did.
"You know there was an opportunity given to him by Brentford, he took it, he should think very carefully at this stage of his career about what is right both from the point of view of integrity and also what's right for him physically, mentally and the amount of games that he wants to play" Jordan explained.
Manchester United have made a slow start to the summer transfer window despite reinforcements needed in midfield.
The possible acquisition of Eriksen would provide much needed quality to United's squad, Jordan believes Manchester United don't have the pulling power they once had.
He added: "I don't think it should be looked at as Manchester United of old, how could you turn down Man United? There are many, many reasons you should turn down Manchester United because ultimately that team, probably from the engine room, needs a rebuild.
"I'm not suggesting going back to the challenges that Eriksen had a summer ago but you need people with legs around him to give him an ability to play and I'm not sure United are in that position yet.
"So I'm not surprised but these deals have many twists and turns, don't be surprised it if comes back again."