The Rangers winger has made just seven starts for Steven Gerrard's side following his August arrival at Ibrox.
Rangers are already without Jamie Murphy and Serge Atakayi in Grezda's position, in which they recently agreed a deal to add Jones at the end of his Kilmarnock contract this summer.
Hopefully this picture of Grezda from training camp doesn’t result in a long spell out injured— Scott Cameron (@Cammy26_2) 10 January 2019
There has since been talk the move - as well as the one for Dundee's Glen Kamara - may brought forward six months at an additional cost to Rangers.
And the following Gers fans are hoping that will now happen...
Get Jordan Jones in now— Mark (@_Markk1995) 10 January 2019
If Grezda's looking like he'll be out for any length of time, just go out and get Jones now.— Phil Wojtczak (@phiwoj) 10 January 2019
Hope Grezda's injury isn't a bad one. I know a lot of people have wrote him off, I trust the board and think there is a player in there might be next season before we see the best of him now though!— Jordan (@Jordan_bluenose) 10 January 2019
His injury might mean the arrival of Jordan Jones this month now...
And plenty of their contemporaries have expressed sympathy for Grezda, who has endured a stop-start debut season at Ibrox.
This doesn't look good at all. Lad beset by injuries and we can't make any judgement on him at all yet.— Kraig (@stringer2388) 10 January 2019
I think like Barasic we will have to wait until next season to see their full potential
That’ll be grezda out for a while then— davie (@davieb82) 10 January 2019
Fm, that’s all we need! He was starting to come onto a game!— Renegade (@Renegade_uk100) 10 January 2019
Oh no— Ãđåm ķèâń (@adamkean_03) 10 January 2019
Typical, doesn't look to good— Dr gonzo (@Gonzo24Hare) 10 January 2019
Not looking good atall for Grezda. Don’t know what his previous long term injury was but hope it’s not linked to the one he’s suffered. pic.twitter.com/ZTN9yW5q6y— Watsy ️ (@Watsy1872) 10 January 2019
Grezda arrived at Rangers in August already carrying an injury, and has started just seven times in all competitions since then.
Gerrard still has Daniel Candeias, Ryan Kent and Glenn Middleton as available options out wide.
Should Rangers move for Jordan Jones ASAP if Eros Grezda is injured?