The doubles experts have both enjoyed impressive seasons with their respective partners but both knew they needed to reach the final of the BNP Paribas Masters in Paris to stand a chance of joining the elite field at the O2 Arena for the season-ending event. The year's top eight doubles teams will compete - alongside the top eight singles players - in London.
Murray and Inglot will not be among them though as both suffered first-round losses.
Inglot was the first to taste defeat in Paris on Tuesday. He and Filipino Treat Huey went down 7-6 (7/5) 6-3 to the Italian duo of Fabio Fognini and Andreas Seppi.
Murray and his Australian partner John Peers followed them onto court but fared no better against fellow London hopefuls Santiago Gonzalez and Scott Lipsky, going down 6-4 7-5.
It means that for the first time since the Tour Finals came to London in 2009 there will be no British representative competing.
Jamie's brother Andy Murray has appeared at the last four runnings of the tournament but he will not be there this year due to injury.