Jones says Leinster’s Worcester-bound centre Ben Te’o is “definitely in contention” for the June tour.
The league convert is moving to the Premiership in the summer and qualifies for England through his mother.
However, Te’o has to be declared available for selection by the Rugby Football Union, as his contract with the Warriors does not start until 1 July and the RFU does not allow players based outside England to be picked, unless in exceptional circumstances.
“He has to be eligible, and that will be decided between the RFU and the clubs,” Jones said.
“If he is eligible then he is definitely in contention because he’s a good player. He can carry through the line, he can pass, he’s a good defender.”
Jones said Te’o has turned down the chance to represent Australia in order to fight for an England place.
“He’s made a decision to play for England. [Discussions over his eligibility] are moving in the right direction. I haven’t met him but I’ve had a few phone and text conversations with him.”
Jones also says he is “looking closely” at Ospreys highly rated 19-year-old flanker Sam Underhill, another who may be available for selection through the “exceptional circumstances” clause.