Birmingham's National Indoor Arena could pay the price for Great Britain's morale-shattering Davis Cup whitewash by Switzerland in Geneva at the weekend.
Captain Jeremy Bates' men will be the one of four seeded teams in Thursday's draw for the Euro-African Zone, meaning they will receive a bye for the first round of matches in February.
Great Britain have six possible opponents for their next tie, four of which would ensure a home draw - but the projected list of opponents hardly bursts with tennis tradition.
They could face any of three recent opponents Morocco, Israel or Luxembourg, and would also be guaranteed a home tie against Serbia.
The Lawn Tennis Association would draw up a prospective list of locations for the tie, with Glasgow among the favourites.
The emergence of Murray along with fellow Scots Alan Mackin and Jamie Baker makes Scotland an attractive option, in particular for a tie which is unlikely to justify a return to Birmingham's National Indoor Arena.
But Solihull-born Bates acknowledges he can afford to take nothing for granted as he seeks to prevent a slide deeper into wilderness away from the all- important World Group.
Bates said: "You look at the quality of teams we have been playing against recently and it is not going to get any easier.
"You used to be able to look at the 16 teams in the World Group and after that you might get two or three good draws but that does not exist any more. But I think in Greg Rusedski and Andy Murray we have got the perfect blend."