"I think at this stage it's important really to get hold of the facts and let things play out, like more information coming out before making a decision to extend the contract like that, in my view. I personally wouldn't have responded like that."
Murray's comments came after Head had publicly backed Sharapova despite a number of her other sponsors, including Nike and Porsche, distancing themselves from her while watchmaker Tag Heuer vowed to cut ties completely.
Sharapova has used Head's equipment since 2011 and a statement from chairman and chief executive Johan Eliasch read: "The honesty and courage (Sharapova) displayed in announcing and acknowledging her mistake was admirable.
"Head is proud to stand behind Maria, now and into the future and we intend to extend her contract. We look forward to working with her and to announcing new sponsorships in the weeks and months ahead."