The group made the sweet gesture following a social media campaign, after it was revealed that 17-year-old Leah Washington was a big fan and had missed their gig in Cardiff as a result of the accident, reported Digital Spy.
The #Get1DtoLeah campaign has been successful, with the four members recording a video message solely for Washington.
While the band's schedule won't allow them to visit the Royal Stoke Hospital, they have invited the teenager to attend another show, where she will have the opportunity to meet them.
Washington's friend Sara Stuart, who helped kickstart the campaign, said that the news and message would "make Leah's day and aid her recovery".
Singer Louis Tomlinson also tweeted a get-well message, writing: "Thinking about you Leah and hoping you are home in South Yorkshire soon.
