RNA polymerase II (RNAPII) transcribes genes in a chromatin context. We have designed a system to investigate the role of chromatin remodelling during elongation in vivo, which involves inserting a strong nucleosome‐positioning sequence between a promoter and a reporter gene. Our data indicate that a nucleosome positioned in the body of a transcription unit impairs RNAPII progression, provokes RNAPII accumulation upstream to the positioned nucleosome and reduces transcription. By using this system, we show that BRG1, the enzymatic motor of the SWI–SNF chromatin‐remodelling complex, is recruited to the positioned nucleosome in a transcription elongation‐dependent manner and facilitates traversal of the nucleosome by RNAPII.