Joined: Feb 2012
Posts: 19,353
Likes: 5,471
From: Rochester, NY
Bikes: Stewart S&S coupled sport tourer, Stewart Sunday light, Stewart Commuting, Stewart Touring, Co Motion Tandem, Stewart 3-Spd, Stewart Track, Fuji Finest, Mongoose Tomac ATB, GT Bravado ATB, JCP Folder, Stewart 650B ATB
That depends on how the replacement chain was sized. If it was done by the method of big/big plus 1" then likely no, the chain will be too short with the larger big cogs.
But if the chain was sized the way I do, by small/small and the der's ability to wrap the chain so no droop exists, then maybe yes. The chain might be long enough to handle the new big/big.
BTW your rear der's ability to both clear a larger cog as well as wrap enough chain is at play here. Ultimately only by trying will one really know. This is why working with a LBS can be a good choice. Trial fit at the shop and no purchase made with only assumptions or hopes at play. Andy.