Dyer suffered a double fracture of his lower right leg while playing in West Ham's recent Carling Cup tie against Bristol Rovers.
Dyer Could Be Back Sooner Than Expected
The England midfielder, who was making only his third appearance for the Hammers following a £6million move from Newcastle, was expected to be out of action for a considerable amount of time.
However, West Ham's head of physiotherapy George Cooper is hopeful Dyer - who was released from hospital on Monday having undergone surgery - will make a speedy recovery.
Cooper: "The club doctor and myself watched the surgery being carried out.
"Kieron had a pin and screws put in the leg and already we know there is an excellent fixation in the leg. That means the prognosis is very positive for a quicker recovery.
"He is resting up now, but will be off the crutches in around two weeks' time, when we aim to have him up and walking."
Cooper has also revealed that another ex-Toon player, Scott Parker, who has been suffering from a medial knee ligament strain,is close to returning.
"Scott is in week seven of this [six to eight week recovery time] and is on course with all that he is doing," Cooper added.