This paper presents a boost-integrated T-type multilevel inverter (MLI) to address the issue of neutral point voltage unbalancing. The proposed converter is designed by modifying the neutral point connection of the T-type boost inverter to the positive DC supply, resulting in asymmetric voltage levels at each pole. Due to the varying nature of one pole voltage, conventional space vector modulation is not feasible. Hence, a novel asymmetric space vector modulation (ASVM) is proposed by utilizing the asymmetric voltage levels while integrating the feature of DC-bus clamping. To validate the proposed approach, a 1 kW prototype is developed, and the control techniques are tested across diverse duty cycles and modulation indices to achieve the desired output voltage, emphasising the importance of selecting the optimal operating point. Experimental results and efficiency analysis demonstrate the effectiveness of the proposed PWM technique in utilising asymmetric voltage levels, achieving lower THD and reduced switching losses at the output.