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We study a D3-D5 system dual to a conformal field theory with acodimension-one defect that separates regions where the ranks of the gaugegroups differ by $k$. With the help of this additional parameter, as observedby Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit inwhich the quantum corrections are organized in powers of $\lambda/k^2$, whichshould allow to extrapolate results between weak and strong coupling regimes.In particular we consider a radius $R$ circular Wilson loop placed at adistance $L$, whose internal space orientation is given by an angle $\chi$. Wecompute its vacuum expectation value and show that, in the double scaling limitand for small $\chi$ and small $L/R$, weak coupling results can be extrapolatedto the strong coupling limit.

Circular Wilson loops in defect Conformal Field Theory