Britain were awarded their seventh successive home tie yesterday when they were drawn against Russia, the 2006 champions, in Europe/Africa Zone Group I.
It is possible Murray will feel more willing to fit Davis Cup into his schedule now that he has a maiden major title under his belt. But while the GB captain, Leon Smith, would love to have Murray on board, he maintains he will not put any more pressure on his former charge to play.
"I'm going to treat it like every other year and give Andy the respect he deserves," said Smith. "He has just reached a huge milestone in his career and I have always said that we wanted Andy to win that more than any other thing that he could be doing.
"I will speak to him at the right time about it, see how he feels, and if it can hopefully fit in his schedule. The fact that it is in April, it is a long time away. A lot can happen between now and then. We will just pick our moment to talk about it."
Scottish tennis fans will be hoping the tie, scheduled for April 5-7, will be held once again at the Braehead Arena so they can watch Murray play on home soil. While that is a possibility, it will take several more weeks of consideration and negotiations over potential venues and surfaces before a decision is made.
Britain, the only one of seven unseeded nations in the 11-team group to receive a first-round bye, will be guaranteed a World Group play-off in September should they win in April.
Russia may be top seeds in the section but they are no longer as strong as they were when they won the competition six years ago. Mikhail Youzhny is their top player at world No.29 while the former world No.3 Nikolay Davydenko is ranked 48. However, they still represent a formidable challenge for a GB side with just one player in the top 200.
With Josh Goodall the next on the list at No.210, Smith will likely have to rely on two singles victories from Murray and a win in the doubles rubber for Colin Fleming and Ross Hutchins if they are to have any chance of winning the best-of-five-match tie.
"Although Russia are obviously missing a headline player right now, they have a lot of quality in the team that are clearly going to make the tie very difficult. With Andy in the team, we have a good chance. Without him, it will be an uphill battle. That's the reality of it."