Vijender, who is promoted by IOS Boxing Promotions, is the reigning WBO Asia Pacific super middleweight champion and is expected to defend his title for a second time next month after the IPL.
The Super Boxing League (SBL) will feature eight franchises and each team will comprise six players (five men and one woman with six back-up players per team).
The league will be promoted by two-time world champion British star Amir along with India partner Bill Dosanjh, who brought the Super Fight League, a mixed martial arts event to India.
"We never had any discussion with the promoters of SBL on Vijender Singh fighting in their league. Hence, the possibility of Vijender fighting Amir Khan in the SBL does not arise," IOS Boxing Promotions' MD Neerav Tomar said.