The couple, who confirmed their separation in January, reportedly continued to wear their wedding rings in the hopes that a reunion would be possible.
"They had both been wearing their wedding rings and had mutually thought they might be able to work it out," a source told People. "But it doesn't look like it's going that way."
The insider went on to say that Klum has felt relieved since the split and would like to continue the separation.
"They have had very little contact and Heidi wants to keep it this way," the source added. "She feels less stressed out now and feels it's best to be away from Seal, so she doesn't get confused about her feelings."
Klum thanked her fans for their support following her split from Seal.