Fleming Investment Trust Management is recommending to the directors of its trusts that they should start share buybacks immediately in a bid to cut discounts.
Fleming runs 19 trusts with a total of £4.6bn under management.
Marketing director Daniel Godfrey says the group is lobbying for changes to be made to investment-trust regulations which will make it easier for trusts to buy back their own shares.
He says buybacks are one way for investment trusts to address the issue of discounts between a trust's share price and its net asset value and Fleming wants to ensure that its general policy is known by trust directors.
Godfrey says: "I do not think discounts are widening but they are higher than we would like.
"There is a supply and demand imbalance."