The Newcastle full back has been with the Blades for the last month and has produced a string of fine performances as the they have continued their push for promotion and progressed in the FA Cup.
"This is good news and gives us plenty of time to enable Rob Ullathorne to get back to full fitness," said Sheffield United’s football executive Terry Robinson.
"Wayne has done a good job and we need his experience.
"Being naturally left-sided he brings balance to the side."
The sort of form shown by Quinn in recent weeks will undoubtedly have reminded Sir Bobby why he bought him in the first place, but Olivier Bernard’s improved performances of recent weeks will probably bar him from the first team on his return.