We present a search for $W b\bar{b}$ production in $p\bar{p}$ collisions at $\sqrt{s}$=1.96 TeV in events containing one electron, an imbalance in transverse momentum, and two $b$-tagged jets. Using 174 $pb^{-1}$ of integrated luminosity accumulated by the D0 experiment at the Fermilab Tevatron collider, and the standard-model description of such events, we set a 95% C.L. upper limit on $W b \bar{b}$ production of 6.6 pb for $b$ quarks with transverse momenta $p_T^b$ > 20 GeV and $b \bar{b}$ separation in pseudorapidity - azimuth space $\Delta R_{bb}$ > 0.75. Restricting the search to optimized $b \bar{b}$ mass intervals provides upper limits on $WH$ production of 9.0-12.2 pb, for Higgs-boson masses of 105-135 GeV.

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