Mexico star has buyback clause in his contract and has not ruled out Gunners return.
Having failed to hold down a regular starting spot at the Emirates, Vela joined Sociedad from Arsenal during the summer of 2012, in a deal believed to be worth £4 million.
The Mexican has been a hit, scoring 14 goals and providing nine assists last season as his side finished fourth in La Liga, and already hitting seven this time around.
Such form has led to rumours that he could one day return to the Gunners, particularly given Arsenal’s buy-back clause, although the player seemed to dismiss that prospect earlier this season when he said a move back to north London would be ‘difficult’.
For their part, Sociedad do not seem to be overly concerned at the prospect of losing a player who has come on in leaps and bounds since he left Arsenal.
Asked about the buyback clause, porting director Loren said: “No. That clause in his contract is the least of our concerns. We know he is doing very well and we know what he thinks about London and Arsenal. We are very calm.
“Would he be persuaded better to stay with a new contract? He has not said that he is unhappy with the contract that he has, rather, he conveys happiness and joy, he is very happy at La Real.”
Vela managed only three Premier League starts in six years for Arsenal, scoring three goals.