Histotripsy thrombolysis is a noninvasive, drug-free and image-guided therapy that fractionates blood clots using well-controlled acoustic cavitation alone. Real-time quantitative feedback is highly desired during histotripsy thrombolysis treatment to monitor the progress of clot fractionation. Bubble-induced color Doppler (BCD) monitors the motion following cavitation generated by each histotripsy pulse, which has been shown in gel and ex vivo liver tissue to be correlated with histotripsy fractionation. In this paper we investigate the potential of BCD to quantitatively monitor histotripsy thrombolysis in real-time. To visualize clot fractionation, transparent three-layered fibrin clots were developed. Results show a coherent motion follows the cavitation generated by each histotripsy pulse with a push and rebound pattern. The temporal profile of this motion expanded and saturated as the treatment progressed. A strong correlation existed between the degree of histotripsy clot fractionation and two metrics extracted from BCD: time of peak rebound velocity (tPRV) and focal mean velocity at a fixed delay (Vf,delay). The saturation of clot fractionation (i.e., treatment completion) matched well with the saturations detected using tPRV and Vf,delay. The mean Pearson correlation coefficients between the progressions of clot fractionation and the two BCD metrics were 93.1% and 92.6% respectively. To validate the BCD feedback in in vitro clots, debris volume from histotripsy thrombolysis were obtained at different therapy doses and compared with Vf,delay. The increasing and saturation trends of debris volume and Vf,delay also had good agreement. Finally, a real-time BCD feedback algorithm to predict complete clot fractionation during histotripsy thrombolysis was developed and tested. This work demonstrated the potential of BCD to monitor histotripsy thrombolysis treatment in real-time.