Burns will become the first Scot since ring legend Ken Buchanan over 40 years ago, to feature in a unification fight when he puts the WBO title up for grabs with the Mexican defending the IBF belt.
But the 29-year-old says he doesn't want the added weight of history on his shoulders as his preparations for the March 16 fight at Wembley Arena gather pace.
Burns said: "I know all the talk about this being the first unification fight involving a Scot since Ken Buchanan, but I don't want to get involved in any of it.
"I always adopt the one-fight-at-a-time approach and the last thing I want to do is put more pressure on myself.
"The fact that there are two world titles on the line speaks for itself and all my focus is on getting the win and producing my best on the night.
"Nothing would make me prouder to come back to Glasgow to defend two titles in the summer, but I know what it is going to take to achieve that."
Burns revealed his trainer Billy Nelson has already been studying tapes of Vazquez.
The WBO lightweight champion said: "Vazquez is a very cute fighter who is always looking to draw your lead and capitalise on your mistakes.
"So he is a quality operator, very dangerous and a genuine world champion.
"But I have always said that the better the opposition the better I fight and I have no doubt Vazquez will bring the best out of me."
Burns v Vazquez is live on Box Nation (Sky Channel 437) join at www.boxnation.com
Meanwhile, Glasgow Phoenix Amateur star Charlie Flynn has enjoyed more success on Scotland duty.
Flynn defeated highly- rated Irish prospect Jason Conroy by 14 -5 to help the Scots to a 7- 4 success over their Celtic rivals at Ravenscraig.