Nowadays wireless sensor networks (WSNs) have grown tremendously because of the easy deployment. In WSNs, sensor nodes monitor the area, and send the desired information to a remote sink for user access. Different protocols are used to select the route for data transmission in WSNs. These protocols might be different based upon WSNs applications and its architecture. In some of WSNs applications, data should be reached at the destination within the delay bound time; otherwise data will not be acceptable. T. He et al [26] have proposed a protocol called SPEED with considering delivery time. The main objective of SPEED protocol is to provide communication within given time. SPEED routing protocol is basically based on a single hop delay for real time traffic and energy metrics has not been considered as a key parameter during routing path selection. Consequently energy depletion of selected nodes will be faster. In present work the SPEED protocol is redefined incorporating the energy parameter as an additional factor and the modified protocol showed better results in terms of energy efficiency.