[PR #9386/803d818d backport][3.10] Small speed up to starting client requests #6587

Job	Run time
Linter	52s
Generate llhttp sources	11s
Test (3.8, ubuntu, false)	5m 55s
Test (3.8, windows, false)	5m 41s
Test (3.8, Y, ubuntu, false)	6m 4s
Test (3.9, ubuntu, false)	5m 50s
Test (3.9, macos, false)	4m 31s
Test (3.9, windows, false)	6m 44s
Test (3.9, Y, ubuntu, false)	5m 4s
Test (3.10, ubuntu, false)	7m 0s
Test (3.10, macos, false)	4m 21s
Test (3.10, windows, false)	8m 13s
Test (3.10, Y, ubuntu, false)	5m 24s
Test (3.11, ubuntu, false)	5m 59s
Test (3.11, macos, false)	4m 39s
Test (3.11, windows, false)	6m 58s
Test (3.11, Y, ubuntu, false)	5m 15s
Test (3.12, ubuntu, false)	7m 11s
Test (3.12, macos, false)	4m 25s
Test (3.12, windows, false)	6m 49s
Test (3.12, Y, ubuntu, false)	6m 16s
Test (3.13, ubuntu, false)	7m 18s
Test (3.13, macos, false)	5m 50s
Test (3.13, windows, false)	7m 34s
Test (3.13, Y, ubuntu, false)	6m 19s
Test (pypy-3.9, Y, ubuntu, false)	11m 14s
Test (ubuntu, 3.14, true, Y)	2m 50s
check	3s
Pre-Deploy	0s
Tarball	0s
Build wheels on ${{ matrix.os }} ${{ matrix.qemu }}	0s
Deploy	0s
	2h 34m 30s

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