Both Premier League clubs were expected to battle for Sancho's signature with the Borussia Dortmund winger expected to return to England.
But the coronavirus outbreak, which has forced a shutdown of football in countries across the globe, could now scupper their plans to land one of football's hottest properties.
BILD reports United and Chelsea's budget for the transfer window will 'depend on whether they receive the full amount of TV revenue for this season'.
If the coronavirus crisis continues to cause delays to football then both clubs may struggle to meet Dortmund's £118million asking price.
There has been no Premier League football played since March 9 due to the coronavirus shutdown with English football suspended until April 30 at the earliest.
It is claimed clubs have told agents that their transfer plans for this summer are now up in the air, especially with no concrete date for when they will return to action.
That could leave Sancho's future in doubt.