People who’ve started applying for health insurance but aren’t able to finish before the March 31 enrollment deadline will get extra time, the Obama administration has announced.

“We are experiencing a surge in demand and are making sure that we will be ready to help consumers who may be in line by the deadline to complete enrollment, either online or over the phone,” HHS spokesman Aaron Albright said Tuesday.

The White House is scrambling to meet a goal of 6 million signed up through new online markets that offer subsidized private health insurance to people without access to coverage on the job. The HealthCare.gov website got more that 1 million visitors Monday, and the administration also wants to prevent a repeat of website problems that soured consumers last fall.

Officials said the grace period will be available to people on the honor system, meaning applicants will have to attest that special circumstances or complex cases prevented them from finishing by March 31.

[Associated Press]