The BBC show will air from 6.50pm to 8.45pm as of 31 October.
It means Strictly will now only overlap with The X Factor - which starts at 8pm - by 45 minutes.
Previously, the programme was in direct competition with the ITV singing contest.
The X Factor has emerged victorious in the head-to-head ratings battle.
But BBC bosses insist the move has nothing to do with viewing figures.
A spokesman says it's been shifted to accommodate a new show by impressionist Jon Culshaw.
Meanwhile, Ali Bastian, 26, and partner Brian Fortuna, 27, are said to have flu-like symptoms.
Where to next?
- Who's dancing?
- Strictly backstage peek
- Strictly Come Dancing to lose weight