Despite the defeat, Durie believes that the 19-year-old can improve and make it as an elite women's player.
"This year has been reasonable for Laura and it would be nice if she ended up in the top 25," Durie told BBC Sport. "Then the aim is top 20 and hopefully top 10 next year. It's all about consolidating year on year, learning, getting better and getting your ranking to keep going in the right direction.
"She can definitely be in the top 10, who knows after that? It's an exciting prospect. Look at someone like Petra Kvitova, who's won here and has a similar game to Laura in the way she goes for her shots. If she can do it, why not Laura?
"We've still got to let her develop, let's not go totally mad at the moment. It's nice to have someone else to cheer apart from Andy Murray and I'm sure he's pleased about it as well. Two Brits in the second week hadn't happened in a while and long may it continue."
Robson is expected to move into the top 30 of the women's rankings.