Speaking in the current issue of PrintWeek, Gilmour said the deal would bring new opportunities to the company in terms of sector coverage.
He said: "Burlington offers a range of services in the publication market that we are not in at the moment. The two organisations complement one another."
He added: "It sounds obvious, but our main plan for the business is to make it profitable, that has to be the base you work from. We tend to keep our operations tight.
"We do not believe in chasing turnover for the sake of it. If we are comfortable as we are, and we have a model that works, then we will trust the individuals we have to take us forward."
He said that there are currently no plans to bring the two companies together. "They have their individual characters and markets and I do not envisage those coming together," he said.
Burlington Press went into administration early last month with insolvency practitioner Tenon Recovery.
A deal for the business looked increasingly unlikely until the BPIF approached Gilmour and a deal was facilitated in the last few weeks.
Burlington Press was bought by Gilmour's purchasing vehicle Brimflex on 6 April. The company name was changed the following day to Bluepoint (UK).
A total of 22 jobs were saved when Burlington was bought, with several employees re-employed since the buyout.
BPC boss reveals plans for Burlington Press
Bluepoint Cambridge (BPC) managing director Jim Gilmour has spoken out following the company's recent deal to acquire fellow Cambridge printer Burlington Press.