Does baby eczema eventually go away or will it always be a problem?

Our daughter gets round patches of eczema (looks kind of like ringworm, but the doctor says it is not) in various places on her body - from elbows to her backside. They are fairly responsive to over-the-counter hydrocortisone treatment plus lotion. I'm just curious if this is something she'll outgrow or it predicts future eczema issues. I was going to ask the doctor, but my daughter was screaming and crying at the time. Oh, our daughter is almost 8 months old. Thanks!