Alternative to Select Into

I'm using SQLite in a Delphi XE7 application and need to make a copy of 6 columns from one table into another table using the same types. If "Select Into" worked with SQLite, the SQL would look like:

  SELECT 
    "RecNum", 
    "TK Number", 
    "Type", 
    "Disc.",
    "Project Description",
    "Date Added"
  INTO
    "CurrentLimited"
  FROM
    "Current"

The query is attached to a TQuery, so if there is a way to save the results of the TQuery as a table in the same database (I don't think SaveToFile offers that) then that would work too.