Rooney is expected to return to Everton next week with Romelu Lukaku heading in the opposite direction to Manchester United for £75million.
The Everton boss met Rooney this week and outlined his football vision including his tough disciplinary code for all of his players.
Koeman will not have a drinking culture at his club and believes Rooney can be a positive influence on his crop of talented young players.
The Everton boss is aware of Rooney’s past misdemeanours. The England striker was pictured looking the worse for wear after gatecrashing a wedding at England’s HQ at The Grove hotel in November.
He was also spotted in a late-night Chester pub in April, drinking pints to celebrate Manchester United’s win over Burnley.
Rooney also gambled away £500,000 in just two hours during a late-night visit to casino in May.
Koeman expects Rooney, 31, to buy into his philosophy while the forward is believed to have been impressed by the manager’s vision for Everton and expressed his own hunger to succeed at Goodison.
Throughout his career the tough Dutch boss has made it clear he will not indulge players because of their status in the game.
Koeman believes players must lead the correct lifestyle off the pitch.
He took on Zlatan Ibrahimovich and Mido at Ajax over their flash lifestyles when the pair raced Ferraris around the club stadium.
The Dutchman also cracked the whip while he was in charge at Valencia and axed skipper David Albelda and senior players Santiago Canizares and Miguel Angel Angelo because he was not happy with their attitudes.
Koeman also dropped Sadio Mane at Southampton when the Senegal striker was late to a team meeting and he is adamant all his Everton players must toe the club’s disciplinary line line.
Lukaku, 24, is on holiday with his pal Pogba in California and hopes he will soon be his United team-mate in a deal that could eventually be worth £90m with add-ons.
The Belgium frontman is expected to team up with United at some point during their US pre-season tour, with Jose Mourinho and his squad jetting out to LA tomorrow.
Everton are prepared to knock £10m off their £100m asking price in return for United waiving a fee for Rooney.
Everton are unhappy with Lukaku and the hitman breached club rules by failing to report back to Finch Farm this week.
They believe he is showing them a lack of respect when they are prepared to let him land his dream move to a Champions League club.
Chelsea have contacted the players’ agent Mino Raiola to ask if they can still clinch a deal.
Everton are unhappy Lukaku breached club rules by failing to report back to their training ground this week.