Live Close By, Visit Often would reach a charting position following its release and receive reviews from music publications as well.

The album's title was partly inspired by a Katharine Hepburn quote related to marriage and relationships.

However, Oslin receives full songwriting credits on two of the album's tracks: "Mexico Road" and "Neva Sawyer.

"[1] Jim Abbott of the Orlando Sentinel described "Neva Sawyer" as "a modern-day folk tale about a circus high-wire walker with a naughty streak.

Cole Porter's "What Is This Thing Called Love?," Helen Morgan's "Mean to Me," and "If You Were the Only Boy in the World" all received this musical style.

Writer Ray Widdell called the record "classy, brassy, musically adventurous and stylish."

"Oslin's perspective is smarter and more mature than the overwrought one-dimensional approach that defines country radio playlists," he commented.

Dinoia found that the album lacked a direction, saying that it was "too eclectic" to be considered country and "too divergent to call pop."

However, she concluded the review on a positive note: "Either way, music doesn't have to be definable or categorized to make it good -- or even interesting -- and Oslin's unmediated vocals are always a pleasure to listen to, no matter what she's singing about.

"[1] Alanna Nash of Entertainment Weekly had similar findings, calling the album "schizophrenic" in regards to its diverse music collection.

Nash also praised Oslin's songwriting efforts, calling the original tracks to be "great grooves.

[10] At the time of its release, Live Close By, Visit Often was Oslin's highest-charting album in over ten years and sold a total of 4,000 copies within its first week.