The tech industry is targeting six GOP senators in the hopes of building a supermajority behind the Senate’s immigration bill.

The bill approved this week by the Judiciary Committee significantly increases the cap on H1-B visas commonly used by tech firms, and softened tougher restrictions on their use.

To preserve that victory, tech companies are trying to help the bill’s supporters secure enough GOP votes to pass the bill out of the full Senate with as close to 70 votes as possible. Such a majority would increase the bill’s odds in the House.

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