The defending Premier League champions have been tracking the 15-year-old in recent seasons given his impressive performances for the PSV youth team.
Chelsea FC were thought to be facing competition from Premier League duo Manchester City and Manchester United for Braaf’s signature.
European giants Ajax and Bayern Munich were also rumoured to be monitoring the PSV teenager, who can play as a winger or a striker.
However, Braaf’s uncle and agent Stefano van Delden confirmed that the PSV youth star has reached an agreement with the Premier League title holders.
“We have reached an agreement in principle for Jayden to join Chelsea,” Van Delden told the Sun, as quoted by Metro.
“But it is a verbal agreement. Nothing has yet been put in writing.”
Chelsea FC are in fifth place in the Premier League table following a disappointing defence of their Premier League crown this term.
The Blues lost 4-1 to FC Barcelona over two legs in the Champions League round of 16 to heap pressure on Italian head coach Antonio Conte.
The west London side can still finish the season with some silverware if Chelsea FC manage to beat Southampton in the FA Cup semi-finals and reach the Wembley showpiece.
Chelsea FC won the Premier League title with two games to spare last term.
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