The 22-year-old had an excellent campaign as Stags made the play-off final at Wembley last weekend.
“I definitely need to look at the goalkeeper situation,” Clough said.
“We would like to keep Nathan Bishop, so we have already discussed that with Manchester United.
Ideally, I think they want him to move up the league, but if it’s a lower League One club, we hope we’re only five or six places below them.
“Nathan knows us and I think he enjoys working with Seamus McDonagh.
“That has to be one of the main attractions for him.
“He works with one of the best goalkeeper coaches and one of the most experienced goalkeeper coaches in the country.
“He’s just played 52 games for us, which I think is more than he’s played in his career.
“Do the same next season and you’ll get better.”
Stags’ veteran Marek Stech is out of contract this summer and Bishop’s planned start to the season, backup goalkeeper George Shelvey, eventually returned to parent club Nottingham Forest as his season-long loan was terminated in January. So Clough may need to find two goalkeepers this summer.