The　concept　of　approximate　oblique　dual　frame　was　introduced　by　Diaz,　Heineken　and　Morillas.　It　is　more　general　than　traditional　dual　frame,　oblique　dual　frame,　and　approximate　dual　frame.　This　paper　addresses　constructing　more　approximate　oblique　dual　frame　pairs　starting　from　one　given　oblique　dual　frame　pair.　Using　＂analysis　and　synthesis　operator＂,　＂portrait＂,　and　＂gap＂　perturbation　techniques,　we　present　several　sufficient　conditions　for　constructing　approximate　oblique　dual　frame　pairs　under　the　general　Hilbert　space　setting.　As　an　application,　we　then　focus　on　constructing　approximate　oblique　dual　frame　pairs　in　shift-invariant　subspaces　of　L2(R)\documentclass[12pt]{minimal}　\usepackage{amsmath}　\usepackage{wasysym}　\usepackage{amsfonts}　\usepackage{amssymb}　\usepackage{amsbsy}　\usepackage{mathrsfs}　\usepackage{upgreek}　\setlength{\oddsidemargin}{-69pt}　\begin{document}$$L＜^＞{2}(\mathbb　R)$$\end{document}.