Hodgson's Three Lions booked their passage to football's equivalent of the global event in Brazil next summer with a 2-0 victory over Poland in a high-pressure match at Wembley.
England host the next World Cup and Lancaster views the forthcoming QBE Internationals against Australia, Argentina and New Zealand as a chance to prepare themselves for the hype to come.
"Hopefully Roy will come into camp and we'll have a chance to chat," Lancaster said.
"I've spoken to him a couple of times in the past. We'll certainly invite him to our games and hopefully he can enjoy them without worrying about the result.
"Credit to the footballers for dealing with the expectation and pressure.
"One of the challenges we'll face is the expectation and pressure of being the home team at a World Cup.
"New Zealand faced that in 2011 and I thought they had that maturity and experience to deal with that pressure and still deliver on the stage.
"Our challenge is to be that experienced and to be ready for that.
"And next month's games are great preparation in that respect. Three games at Twickenham against three big southern hemisphere sides are great preparation."
Lancaster will allow his players time at home to help them cope with the pressure of playing at a World Cup.
"In 2011 New Zealand had the advantage of being able to go home to see their families and get away from the intensity of the World Cup," Lancaster said.
"I think they found that an advantage and we'll look to use that as well.
"We won't keep the players in camp all the time, we'll let them get out of the bubble."