However, the former Charlton youngster's form for the Hammers has actually made life even more difficult for co-owners Gold and David Sullivan to get him signed up permanently, as Arsenal are now considering bringing him back into the fold.
It was thought West Ham could sign Jenkinson for between £8-10 million as the Gunners are well stocked in the right-back berth with the likes of Hector Bellerin bursting onto the scene this season.
Doubt was cast over any move, though, when Arsene Wenger seemingly ruled out any chance of a permanent switch recently.
"The decision is now whether to bring him back now or give him one more year on loan,” Wenger is reported to have said earlier this month, according to the likes of The Metro.
That was further compounded at the weekend when his manager at Upton Park, Sam Allardyce, said speculation over his future in the Upton Park hotseat could have an impact on the club's attempts to keep 'Jenko' as he is affectionately known.
Speaking in his column for the London Evening Standard, Allardyce said: "It (speculation over his future as manager) might have had an effect on the players — not nearly as big as that caused by the injuries we’ve suffered — but it has been there, all the same.
"Take the example of Carl Jenkinson. We might want to talk about signing him but he could ask: “Are you going to be here?”
But now Hammers co-owner Gold has given renewed hope by revealing on Twitter he has not ruled out bringing the man clocked as the Premier League's joint fastest player back to the Boleyn next season.
After taking to the social networking site to pledge the club will bring in at least five new faces this summer, Gold replied to a response from a Hammers fan asking 'if that ruled out Jenko?'
He simply said: "No but we have to wait and see."
Should the Hammers miss out on Jenkinson they could move to facilitate the return of former Hammers academy graduate Glen Johnson, 30, to fill the right-back void on a free transfer when his contract at Liverpool expires, as reported by the Daily Mail.