Texas Democrats gave their clearest signal yet on Thursday that they will soon return to the Lone Star state, after decamping to stop the passage of a redrawn congressional map that adds five new GOP-leaning seats.

A statement from the state House Democratic Caucus said that the lawmakers will return on two conditions, both of which are expected this week. First, that the Texas Legislature ends its first special session on Friday, and second that California lawmakers introduce their expected proposal that could offset the GOP gains in Texas.

“Now, as Democrats across the nation join our fight to cause these maps to fail their political purpose, we’re prepared to bring this battle back to Texas under the right conditions and to take this fight to the courts,” Texas House Democratic Caucus Chair Gene Wu said in a statement.

The battle over redistricting in Texas has kicked off a nationwide scramble to redraw congressional districts ahead of the midterms.