King has suffered with a knee problem since 2006 which forces him to swim in order to keep fit between matches due to the effects of training on his body.
And the recently-appointed Portuguese boss has revealed that he has held talks with the 31-year-old over his future, amidst reports that King might be open to taking a coaching role.
"I spoke to him on Tuesday and there are still discussions regarding what is the best step,” Villas-Boas told reporters.
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"It is very unfair for me to extend myself because Ledley has a tremendous past as a footballer and it is up to him to share with you what his decision is."
King, whose contract with the north London club is set to expire this summer, was limited to just 23 appearances in all competitions last season.
The White Hart Lane outfit have also recently signed central defender Jan Vertonghen from Ajax, increasing competition for places at the back.