This hope is fuelled by two factors: firstly, Andy Murray is playing for the first time in two years; secondly, the emergence on to the world stage of Dan Evans this summer means that the team is not quite as much of a one-man show as it has been.
Evans reached the third round of the US Open a couple of weeks ago, beating the No.11 seed, Kei Nishikori of Japan, before following that with an equally impressive victory over Australia's rising star Bernard Tomic, the world No.52. The wins lifted Evans to No.149 in the world ranking list, some 218 places higher than he had been as recently as March.
Yet we should not be heralding it as a bright new dawn for British tennis just yet. Evans may have had a fine summer but it does not necessarily lay down any markers for his longer-term development. He has a chequered past. Ferociously talented, the Englishman did almost everything in his power to squander his potential. He twice had his funding withdrawn by the Lawn Tennis Association because of his lack of commitment, first in 2008 and then again in 2012.
Earlier this year, after a couple of admirable and gutsy performances in a Davis Cup tie against Russia, Evans was quizzed as to why he could occasionally produce world-class performances, but failed to do so consistently. He admitted: "I don't train hard enough; I don't work hard enough. I know that's the reason. It's my fault. I'm obviously pretty bad at my job." He claims to have knuckled down over the last six months or so and his encouraging run at the US Open was as a result of committing fully to tennis and everything that it entails.
Heartening as that is to hear, it is still far too early to become too excited about the prospect of having two world-class male British tennis players on the circuit.
Training at an elite level is so tediously monotonous that it feels as if you are incarcerated in your own little professional sport bubble. Every aspect of your life must be devoted to improving as an athlete. Murray is an exemplary role model for this. While he is undoubtedly freakishly talented, it is his work ethic which has allowed him to realise his potential to the full.
Evans is 23 years old. Not old by any manner of means, but not young either to be making his breakthrough when you consider the age at which the other top players first made their mark. Murray was 19 when he initially broke into the world's top 10, Novak Djokovic was 20 when he won his first grand slam event; Rafael Nadal was only 18. Admittedly, these are exceptional players and no-one is suggesting that Evans will hit these heights. Yet the fact is that he has wasted vital training years, leaving him at a considerable disadvantage.
It remains to be seen whether he will maintain this upward curve. It is not easy to live the life of a professional sportsperson year after year. Evans has admitted that he likes nights out; this is the first thing that must go. Also, the hours of training - doing the same on-court routines, the same rehab, the same flexibility work over and over again - can be mind-numbing. Training at an elite level can, at times, be so boring that watching paint dry for a couple of hours would be a welcome distraction.
Evans has excelled this year on the big stage - Davis Cup, Aegon Championships at Queen's Club and the US Open - but it is harder to raise your game when you're in the back of beyond with little fanfare.
This summer has been encouraging for British men's tennis, but there is still a long way to go until there is the level of strength in depth that should be there when you consider the level of investment in the sport in this country. Participation levels are still too low and, as a result, too few players are breaking on to the world stage.
Evans has shown signs of being able to back-up Murray. Can he, and others, do it for years to come? That is what it will take for British tennis to be considered truly successful.