A judge in Indianapolis will hear arguments Tuesday from Planned Parenthood's attorneys and attorneys for the state of Indiana.
A federal judge last month halted an Indiana law requiring women get an ultrasound at least 18 hours before an abortion.
Holcomb has until next week to sign – or reject – all approved bills.
Governor Eric Holcomb will soon have to decide whether to sign a bill dealing with parental notification of abortion.
The House approved a bill adding rules to parental consent and notification of abortion – even as some Democrats raised new issues with the measure.
The law required women to obtain an ultrasound at least 18 hours before an abortion.
Many opponents say the original bill was unconstitutional. Lawmakers amended the proposal to address those concerns.
The bill mandates abortion providers give women considering a drug-induced abortion information on stopping their procedure after taking some of the drugs.
Legal experts and lawmakers can’t agree on the constitutionality of a parental notification of abortion proposal.
The measure would require that parents receive legal notice their child is seeking an abortion and would give them standing to try to stop it in court.