Lambert added: "We saw him at Rushden & Diamonds, where his goalscoring record was brilliant and obviously came up against him last season when he was at Gillingham."
McDonald meanwhile has jetted out to a training camp in Le Touquet in France to join Andy Hessenthaler's squad.
The former Dartford striker has only started five league games for the Canaries since joining in February 2009, but has found the net four times in a total of 28 appearances.
Jackson's former Gills team-mate Josh Gowling said everyone wished the striker well on Tuesday when he revealed he had got his longed-for move.
"He's a good friend of mine," said Gowling.
"He came in during pre-season and was a great pro even though there were discussions about him going.
"He obviously didn't play in the friendlies but he put his effort into every training session and I'm glad he's got his moved, he deserved it.
"He's done really well for this club and hopefully he'll go on and have a really good career."
The defender added: "We had a meeting with him just to say all the best and we're really happy for him that he got his move because he has done great for the club.
"He's a nice lad, great pro, comes in every day, trains hard, eats right, his home life is great, he's got a lot of goals for this club so he deserves the move."
Jackson scored 21 goals in the Gills' promotion campaign from League Two in 2008/09 and 18 as they were relegated from League One in 2009/10.
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