As it stands, Hodgson’s current deal will expire next summer following the finals in France, with fresh terms yet to be agreed to extend his stay as manager.
England have won all six of their matches in qualification so far and need just four more points to confirm their place at next summer’s showpiece.
Having failed to lead England out of the group stage at the 2014 World Cup in Brazil, Hodgson is sure to be aware that another poor performance from the Three Lions at a major competition could bring his reign as manager to an end.
Glenn, however, insists uncertainty over Hodgson’s future should only act as a motivation for the 67-year-old to achieve the best possible results and a new contract.
“Roy is a consummate professional and he knows how we want to work. One of my values is, you pay for performance. Roy understands that if we have a great Euros, that will set him up well,” Glenn told Sky Sports News HQ.
“So I think the past history of giving England managers long, long contracts, I can see why it gives certainty, but I like to have a bit of uncertainty to encourage people to go that extra yard to get results.
“Roy is very happy with the situation. We are investing a lot in the England set up, he has got far more resources to play with at St George’s Park. The investment is really significant, so we are really giving him the tools that he needs to be as successful as he can and it’s just not an issue.”
As well as clarifying Hodgson’s contractual situation, Glenn also threw his support behind UEFA president Michel Platini, who he believes should stand to replace outgoing FIFA president Sepp Blatter.
“We would very much like Michel to stand and we’ll stand full square with UEFA on this. I was out with UEFA on Thursday, talking about the various situations that might emerge. It is very important that England work together with the European nations,” he added.
“But the real point isn’t whether it is Michel Platini or not, though we would love him to stand, it is what kind of FIFA we have, how it is organised and what kind of reforms we are going to make to ensure that level of corruption can’t happen again.”