The 25-year-old has endured an injury nightmare since rupturing his anterior cruciate knee ligament against Manchester City in April 2014 but is finally set to return in the final game of the current campaign, also against City.
“He’s a very dangerous front player that makes the team even stronger,” Koeman said. “He will give us very good competition between the strikers, that will be important for next season.
“If Jay can have a good pre-season, we have a new player in our team and that is fantastic news.
“He was part of the sessions this week. We are waiting for confirmation about an Under-21 game against Manchester City at home next Tuesday.
“He will be part of that, maybe in the second half, and then after that there is a possibility to take Jay with the squad to the Man City game.
“It will be nice for everybody because that will mean he is back but it is too early to make that kind of decision, we have to wait.”
Rodriguez arrived at St Mary’s in 2012 from Burnley for an undisclosed fee rumoured to be in the region of £7m.