Manchester United ended their campaign on a high as they lifted the Europa League trophy last night after a 2-0 win over Ajax in Stockholm.
The victory ensured they will take their place in the Champions League next term.
Rashford, who exploded onto the scene at Old Trafford under Louis van Gaal last year, has still been an instrumental figure this campaign, chipping in with 11 goals in all competitions.
But despite the 19-year-old's meteoric rise, Giggs thinks it would be wrong to expect Rashford to be as prolific as some of his Premier League peers.
Manchester United player ratings from Europa League final Wed, May 24, 2017
Express Sport brings you Manchester United's player ratings from the Europa League final against Ajax
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Sergio Romero – 7.2
Marcus Rashford has become a central part of Manchester United's success
Ryan Giggs thinks Manchester United shouldn't expect too much of Marcus Rashford
They need to find that balance of creating more chances and scoring more goals
"United finished 24 points behind Chelsea in the league. They need to improve," he told ITV Sport.
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"They have to score more goals – they have had lots chances.
"United need to be better in front of goal, because you can't put pressure on Rashford to score 30 like a Harry Kane or Alexis Sanchez and Liverpool have goals coming in from everywhere.
"They need to find that balance of creating more chances and scoring more goals."
United will face the winner of Real Madrid and Juventus in the Uefa Super Cup final on August 8 and he could lead the line.