England name three uncapped players for Argentina, Farrell and May included
Second-row trio David Ribbans (27), Alex Coles (23) and Sean Robinson (31) could be in line to make their debut when Jones announces his matchday squad on Friday.
In the back line, Farrell is edging closer to a return following concussion while May has made a speedy recovery from a dislocated elbow.
England's attack coach Martin Gleeson said Farrell, who missed the team's five-day training camp in Jersey last week, was making good progress.
"He's just coming through the last bits of his return to play. Everything's gone according to plan so far," Gleeson told reporters on Wednesday.
"He plays a big part. Obviously, his partnership with Marcus (Smith) is a big part of where we want to go as a team. They're four games in together and we want to build on that this autumn."
