All tickets for the affected concerts will be honoured for the new dates. Details are expected to be announced soon.
This year, the awards ceremony was held at De Oosterpoort in Groningen, the Netherlands.
The 18-year-old pop star is the youngest artist in history to write and record a James Bond theme song.
The Scottish star's signature ballad ‘Someone You Loved’ alone racked up 228 million streams.
In a wonderfully surreal episode, Eilish sang her hits ‘Ocean Eyes’ and ‘Bad Guy’, plus a cover of The Beatles‘ ‘I Will’ performed on a ukulele.
Fans can expect the new song to drop on Wednesday, 13 November.