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Nope, You do not need a visa for an airside transit at Dubai. Just for the record, even if you had different terminals on DXB you would still not need a visa.
TWOV (Transit Without Visa):
Passengers with a confirmed onward ticket for a flight to a third country within 24 hours. They must stay in the international transit area of the airport and have documents required for the next destination.
Source: Timatic via Emirates
However, if you have a transit time of more than 8 hours you can also obtain a Transit visa on arrival and go enjoy.
Visa Issuance:
E-transit visas can be obtained before departure. Passengers must have a printed e-transit visa confirmation and they can transit for a maximum stay of 48 hours.
The passengers must transit for at least 8 hours.
Passengers can obtain a transit visa at Abu Dhabi (AUH), Dubai (DXB), Ras al Khaimah (RKT) or Sharjah (SHJ) for a maximum of 96 hours. The passenger must:
transit for at least 8 hours; and
have onward ticket to a third country; and
have a passport valid for a minimum of 6 months from the arrival date.
Visas are only issued as a part of a transit package together with hotel accommodation and airport transfer.
Source: Timatic via Emirates