Barry moved level with Ryan Giggs' tally of 632 games last weekend as Albion were held to a goalless draw by West Ham.
The 36-year-old described his impending achievement as a "proud" moment and something he never expected to achieve when he made his Aston Villa debut as a 17-year-old in 1998.
But it will mean little unless the Baggies can come away from the Emirates Stadium with a positive result.
"The number I'll achieve is an individual one. Football is a team game," he told a media conference.
"My family will be at the game but there won't be a smile on my face after anything other than a positive result!
"As crazy as it sounds after all these years, my focus will be on winning the game."