Gilmour is considered by many to be one of the most promising prospects at Chelsea and was unlucky to start the season with a knee injury that kept him out until December.
The midfielder was slated to go out on loan in the January window, but Lampard decided against it as he wanted to keep the youngster under his wing.
But following Lampard’s dismissal, the Scot has hardly got a look from Chelsea boss Thomas Tuchel and he may even miss out on a spot in Scotland’s Euro 2020 squad as a result.
Jackson feels Gilmour is a victim of his own talent as Lampard did not want to let him go out on loan when the chance came in January.
And he thinks that it has worked against him in his bid to be in the Scotland squad for the summer tournament.
Jackson said on PLZ Soccer: “I think he was meant to be going out on loan.
“And it kind of backfired that the manager was so impressed with him when he first went in that he thought I am not letting you out on loan, I am keeping you here.
“It has kind of backfired at Billy for the Euros.”
Gilmour has not played in the Premier League since early January and his last game was an FA Cup quarter-final against Sheffield United last month.