Puedes usar row_number()
para hacer esencialmente lo mismo:
WITH DataToInsert AS
(
Select AgentID, Surveys, LOB,(case when day(getdate())<4 then 3 else (day(getdate())) - (Surveys*3) end) SampleSize from Current_Agent_SurveyCount_HSI Where surveys<8
)
Insert Into Survey_Source_New (LOB, CenterName, CallDate, AgentZid, TN, Ticket, RecordingID, Cycle, [TimeStamp])
select LOB, CenterName, CallDate, AgentZid, TN, Ticket, RecordingID, Cycle, [TimeStamp]
from (Select ss.LOB, CenterName, CallDate, AgentZid, TN, Ticket, RecordingID, Cycle, [TimeStamp],
row_number() over (order by newid()) as seqnum
From Survey_source_Level1 ss inner join
DataToInsert du on ss.AgentZID=du.agentID
where flag is null and du.samplesize<7
) t
where seqnum <= du.sample_size
Es posible que pueda simplificar esto un poco, pero no sé si flag
viene de du o ss.