Provided are a method, system, and article of manufacture for writing data in a tape medium having wraps. A layout of the tape is provided including at least one segment within a full length of first set of wraps for writing user data and at least one segment within a full length of a second set of wraps for writing a work copy of the user data. User data is received to write to the tape medium. Detection is made of whether data writing is occurring in a specified write mode. A work copy is written to available segments in the second set of wraps not having user data in response to the data writing occurring in the specified write mode.