A Hamas spokesman, Mahmoud Zahar, said in a radio interview, however, that a new ceasefire deal could be reached if Israel complied with certain conditions, namely lifting a blockade on the impoverished region and ceasing its attacks on Gaza.
Zahar was cited by Egypt's Al-Ahram newspaper as saying, "The situation will be assessed...If there are positive developments, there will be an extension."
Palestinians in Gaza have waited over five days for trucks from Egypt to enter the enclave via Israel, which has refused to let goods pass through the Kerem Shalom border post into the Gaza Strip even for humanitarian aid citing Palestinian mortar attacks.
Palestinian militants in Gaza agreed to call a unilateral 24-hour ceasefire on Monday to allow humanitarian aid through, a spokesman for the Islamic Jihad Movement said earlier.
Zahar also warned that "Palestinian resistance" was capable of responding to any Israeli large-scale military operation in the Gaza Strip.
Israeli radio also reported that two rockets had been fired from the Gaza Strip onto Israeli territory on Tuesday. No casualties were reported.
The Islamic Jihad Movement has claimed responsibility for most of the 50 rockets fired into Israel's southern regions over the last four days since a six-month ceasefire with Israel ended on Friday. The ceasefire was brokered by Egyptian mediators, and included not only Hamas but also other Palestinian militant groups in the enclave.