"I believe that the party's central leaders have solved the leadership issue and all state leaders will abide by whatever decision they take," he told reporters after visiting a temple near Mandya, some 91 km from here.
A decision from the party's central leadership is likely to be conveyed within a week, Eshwarappa reiterated.
He also said the party would continue to give good governance to the people in coming days. "The party will like to give good government as Gowda and former Chief Minister BS Yeddyurappa have done," he said.
Inspite of the political crisis, the people of the state have shown faith in the BJP as it is reflected in the party winning five of the six seats in the recently held Council elections, Eshwarappa said.
Taking a dig at Congress, Eshwarappa said the question of dissolving the Assembly does not arise as people have "blessed" the party to complete its five year term.
"But if the Congress conspires to force an early Assembly elections, the BJP is ready to face it," he said.
Meanwhile, Karnataka Home Minister R Ashok said the party's central leadership would issue a direction in the next two to three days.
The BS Yeddyurappa faction has been seeking Sadananda Gowda's removal and projecting Rural Development Minister Jagadish Shettar as the alternative.