The BJP had won 31 of the 70 seats in the assembly elections held in December 2013, which threw up a fractured mandate. It also has the support of an Akali Dal legislator.
Three of the BJP legislators were elected to the Lok Sabha in the April-May general election, reducing the BJP's tally to 28.
According to another source, the party is treading cautiously in Delhi due to the threat of the Aam Aadmi Party (AAP) which came a close second in last year's poll, winning 28 seats.
"If we can prepare a report, the AAP too would have been closely scrutinising the performance of all our MLAs in the city. We know that they are doing it. Therefore, the weak links need to be removed," the source told IANS.
The BJP and the Congress have traditionally held sway in Delhi. This changed last year when the AAP contested the assembly elections and pulled off a stunning performance. In comparison to the BJP's 31 seats, the Congress got just eight seats.
This year, the BJP won all the seven Lok Sabha seats in the capital. The AAP finished second in all seven constituencies. The Congress either finished third or fourth.
In the recently concluded state polls in Haryana and Maharashtra too, the party again registered impressive victories and hence wants to stretch its winning streak in Delhi where it has remained out of power for 16 years.