Noble joined the Grecians in January whilst carrying a knee injury, and is yet to make his debut for the club.
"David was signed to start this year and he is on course to do that," boss Paul Tisdale told the club website.
"They are both in line to be fit for the start of pre-season.
"I don't think there is a club in the country, especially not at our level, that would have done that but I am optimistic about the input he can have in this team so I was prepared to do it."
Noble started his career at Arsenal before moving to Bristol City. He then spent three months on loan at Yeovil last season, making just two appearances for the Glovers.
Source: BBC Sport
Source: BBC Sport