Pique has been a key figure for Barca this term, but will not be involved against Getafe as Luis Enrique has opted to rest the centre-back.
With La Liga, Champions League and Copa del Rey silverware still to play for, fit-again Thomas Vermaelen will not be rushed back, either.
The Belgian has not featured in a competitive game for Barca since moving from Arsenal in the close-season, having suffered with repeated hamstring troubles, but was given the medical all-clear to return to action on Sunday.
Jordi Masip and Douglas are also left out, while Jordi Alba is unavailable due to suspension.
Victory for Barca would send them five points clear at the summit ahead of Real Madrid's clash with Almeria on Wednesday.
The Catalans were held to a scoreless draw by Getafe at the Coliseum Alfonso Perez earlier this season.