Bergkamp, 20, joins the promoted club from Excelsior for an undisclosed fee on a two-year deal, though the move is still subject to international clearance.
The arrival of a Bergkamp on English shores will inevitably attract comparisons with the 11 wonderful years Dennis spent with Arsenal, but Albion boss Gus Poyet does not want too much expectation to surround his new striker.
“The name is going to bring plenty of memories but we ask that people forget about his uncle," Poyet said.
“He has the same name but he is a totally different player to Dennis and we don't want people to compare him.
"Dennis is one of the best foreign players to have played in England and we want Roland to get as high as possible but, from the beginning, we just want people to take him as a young and promising talent.”