Jones (19-1) is focused on a seventh title defense against Glover Teixeira at UFC 172 this weekend in Baltimore. Clearly, that might have something to do with the timing of the statement.
"Somebody was asking me about possibly fighting Cain Velasquez," Jones said on a conference call with reporters. "I have no interest at this point. There's a lot of great competition for me to test myself (at 205 pounds) -- Glover Teixeira obviously being first on that agenda."
Jones, 26, has previously said he could permanently move up to the heavyweight division within the next two years. Late last year, he mentioned Velasquez by name during a public appearance.
At the time, he added, "Don't be surprised if that happens sooner rather than later."
It now appears as if that potential fight would happen later, not sooner. If he wins this weekend, Jones likely will face Alexander Gustafsson next. After that, Jones says the division is full of contenders to keep him busy.
"People are interested in rematches," Jones said. "I've got (light heavyweight contender) Phil Davis saying he'll crumble me like a cookie. So, lots of competition for me and I'm excited to meet them all."