The 29-year-old is ready to depart Sporting Lisbon this summer, after a troubled few months with the Portuguese giants.
Jardel is undoubtedly a wonderful talent and has one of the best goalscoring records in European football history, having bagged over 200 goals in just seven seasons playing on the continent.
The Gers originally moved for Jardel in the 1995/96 season, but they were unable to broker the deal because of work-permit regulations and he moved to Porto - where he bagged 30 goals in his first season.
He has since proved his abilities, mainly in Portugal, but he now wants to move on and a move to Britain is thought to appeal.
A move to Barcelona broke down last summer and that caused major distress to the striker, who has struggled with various problems during the whole of the subsequent campaign.
With one year left on his current contract he is looking to leave and Rangers are reported to have made contract with the club and the player's representatives.
Rangers are now moving for Jardel, knowing that the work-permit problems that scuppered their last move will not re-emerge as the striker has gained Portuguese citizenship over the last year.
Sporting are highly unlikely to stand in Jardel's way, but they will want some sort of fee.
Rangers are set to dispense with the services of current strikers Claudio Caniggia and Michael Mols and so there would be room for Jardel at Ibrox.
However, there is likely to be competition for Jardel's services but Rangers have now thrown their hat into the ring for his services.