David Moyes believes his lasting legacy at Everton will be increased expectations among the club's supporters.
The manager, who is leaving Goodison Park after 11 years, arrived at Manchester United's training ground on Monday to begin the job of succeeding Sir Alex Ferguson at Old Trafford.
His final game as Everton boss brought a 2-1 defeat at Chelsea on Sunday, with his team finishing sixth in the Premier League.
Moyes has managed the Toffees to seven consecutive top-eight finishes, despite operating with one of the lowest budgets in the top flight.
That is a significant improvement for a club who were only outside the relegation zone on goal difference when he arrived from Preston in March 2002.
And Moyes said he was certain Everton would continue to overachieve in his absence. He told the Liverpool Daily Post: "Folk are now saying Everton are near the top and talking about the Europa League and even the Champions League.
"It was a big shock when we got knocked out of the FA Cup by Wigan earlier this season. Yes, there are regrets - but I hope I've left more pluses."
The manager highlighted the professionalism of his side in recent away games against teams above them in the Premier League. They earned a 2-2 draw at Tottenham on April 7 and held Arsenal 0-0 at the Emirates Stadium nine days later.
He said: "A few weeks ago, we went to Arsenal in a game we had to win and they had to win and showed a good mindset.
"We've been to Tottenham recently and did well, so we've had big games and improved.
"It's not something to talk about, but we've had a half, or a third, of the money the others teams are spending on wages.
"When you weigh it up, there's been an improvement. Everton have had a great season. Near enough from the first day to the last, we've competed and been very close.
"The group of players I leave are a top group of players. They've got a good chance."