Peter Pan's Flight is expected to close for refurbishment from January 7, 2018 through February 1, 2018. This was first speculated when Disney announced that Peter Pan's Flight would not be available as part of select January dates for Early Morning Magic and later reported by KennyThePirate.com.
In addition, Tomorrowland Speedway will also close for refurbishment beginning January 2, 2019 and reopen in Summer 2019. The attraction is expected to retain the same name upon reopening.
October 4th UPDATE: WDWMagic.com is reporting that the Tomorrowland Speedway refurbishment will run from January 2, 2019 through May 17, 2019 and the attraction will reopen with a reconfigured layout on May 18, 2019.