Robert F. Kennedy Jr. has recently approached the N.F.L. quarterback Aaron Rodgers and the former Minnesota governor and professional wrestler Jesse Ventura about serving as his running mate on an independent presidential ticket, and both have welcomed the overtures, two people familiar with the discussions said.

Mr. Kennedy confirmed on Tuesday that the two men were at the top of his list. It is not clear if either has been formally offered the post, however, and Mr. Kennedy is still considering a shortlist of potential candidates, the people familiar with the discussions said.

Mr. Kennedy said that he had been speaking with Mr. Rodgers “pretty continuously” for the past month, and that he had been in touch with Mr. Ventura since the former governor introduced him at a campaign event last month in Arizona.