The Obama administration is expected to withdraw its plan to permit oil and gas drilling off the southeast Atlantic coast, yielding to an outpouring of opposition from coastal communities from Virginia to Georgia but dashing the hopes and expectations of many of those states’ top leaders.

The announcement by the Interior Department, which is seen as surprising, could come as soon as Tuesday, according to a person familiar with the decision who was not authorized to speak on the record because the plan had not been publicly disclosed.

The decision represents a reversal of President Obama’s previous offshore drilling plans, and comes as he is trying to build an ambitious environmental legacy. It could also inject the issue into the 2016 presidential campaigns, as Republican candidates vow to expand drilling.

In January 2015, Mr. Obama drew the wrath of environmentalists and high praise from the oil industry and Southeastern governors after the Interior Department put forth a proposal that would have opened much of the southeastern Atlantic coast to offshore drilling for the first time.