Yes first wave of Seljuks most likely.
Second wave was already mixed. Here is the Anatolian Turkmen sample who fits the Safavid timeframe:
MA2195 Ottoman 1400-1600AD
Gedrosian: 13.98
Siberian: 10.53
Northwest_African: 3.80
Southeast_Asian: 0.00
Atlantic_Med: 12.36
North_European: 12.63
South_Asian 2.74
East_African 1.67
Southwest_Asian: 3.09
East_Asian: 12.12
Caucasian: 26.34
SSA: 0.7
Distance to: Ottoman_Turk
10.31514905 Yoruk
12.41149064 Turkmen_Uzbekistan
13.18566267 Turk_Northwest
14.11639827 Turk_Southwest
15.56407080 Turkmen_Iran
16.08956805 Uzbek
16.77137144 Turk_West_BlackSea
16.98567632 Nogais
16.98648875 Crimean_Tatar_Mountain
17.01348289 Turk_South
17.05138997 Turk_Anatolia
17.71138052 Turk_Central_West
17.84925209 Crimean_Tatar_Steppe
18.04983102 Turk_Central_Black_Sea
18.53741622 Turkmens
20.07653107 Tajik_Balanovsky2019
20.11586687 Turk_Central_East
20.67767879 Turk_Southeast
21.16237936 Iran_Khorasan
21.17463341 Azerbaijani
21.77565384 Azerbaijani_Turkey
22.44257115 Azerbaijani_Iran
22.47654555 Crimean_Tatar_Coast
23.81957178 Turk_Bulgaria
23.97379611 Yagnobi
It only takes 2 or 3 more generations of mixing to get modern Turkish or Azerbaijani results. Thats not much for such a long timeframe. Considering lifespans in these times.