[en] We report a search for cyclotron line absorption in the pulsed spectrum of the 'Bursting Pulsar', GRO J1744-28 using the Proportional Counter Array (PCA) and the High Energy X-ray Timing Experiment (HEXTE) on the Rossi X-ray Timing Explorer (RXTE). We focus on data obtained around the peak of the 1996-1997 outburst. Improvements made in these analyses include the use of more accurate PCA and HEXTE detector response matrices, data with a larger overlapping energy band, and a continuum model especially well suited to cyclotron line searches. We find that the spectrum can be adequately fit with a smooth continuum model typical of other X-ray pulsars, with no modification for cyclotron absorption required. In fact, the data are inconsistent with cyclotron features with depths greater than a few percent of the continuum