The defender missed the entire pre-season after aggravating a back injury, and has yet to feature for the Gunners so far this season.
However, with the international break imminent, Vermaelen is eyeing a comeback for Arsenal for their third-round encounter at The Hawthorns later this month.
"The West Brom game is a few weeks away yet and hopefully I will be closer to a return myself in the meantime," Vermaelen told reporters.
"West Brom looks like an interesting draw – it looks like a tough game but a nice game too. It's one we will take seriously and with a high focus.
"I can't put a date on my comeback yet, as it depends on how I respond to the physical work I am doing, but I am focusing day by day and am really happy with how things are going so far."