We consider the possibility of detecting intermediate-mass ($10^3-10^4M_{\odot}$) black holes, whose existence at the centers of globular clusters isexpected from optical and infrared observations, using precise pulse arrivaltiming for the millisecond pulsars in globular clusters known to date. For someof these pulsars closest to the cluster centers, we have calculated theexpected delay times of pulses as they pass in the gravitational field of thecentral black hole. The detection of such a time delay by currently availableinstruments for the known pulsars is shown to be impossible at a black holemass of $10^3 M_{\odot}$ and very problematic at a black hole mass of $10^4M_{\odot}$. In addition, the signal delay will have a negligible effect on thepulsar periods and their first derivatives compared to the current accuracy oftheir measurements.
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