Ablution before Salaah is Not Obligatory in This Situation

Whoever performs the legislated ghusl [due to sexual defilement][1] and intends to perform Salaah, it is not binding on him to perform ablution even if he did not perform ablution in his ghusl because purification for sexual defilement puts an end to minor impurity. This is because the impediments of the state of sexual defilement are more than the impediments of minor impurity. So, the fewer ones are included in the more abundant ones.  

[The proof is what] Aa’ishah (may Allah be pleased with her) said: ‘Allah’s Messenger (sallallaahu alayhi wasallam) did not use to perform ablution after ghusl.”[2] In another version, she said: “He (sallallaahu alayhi wasallam) performed ghusl and offered two rak’ahs of prayer. I do not think he performed ablution afresh after the ghusl.”[3]

Source: Saheeh Fiqh as-Sunnah wa Adillatuhu wa Tawdeeh Madhaahib al-A’immah vol. 1, p. 181, by Abu Maalik Kamaal bin as-Sayyid Saalim

Know that this ruling is restricted to ghusl for sexual defilement (janaabah). As for other recommended and obligatory ghusl, it is obligatory upon a person to perform ablution [before Salaah]. Performing ghusl to remove minor impurity will not be sufficient for him. And Allaah knows best.

Source: Tamaamul-Minnah fee Fiqh al-Kitaab wa Saheeh as-Sunnah, vol. 1, p. 118, by Abu Abdir-Rahmaan ‘Aadil bin Yoosuf al-Azzaazee

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[1] There are only two things the law requires. The first is the intention based on the Prophet’s statement: “Verily, all actions are based on intentions.”  The second is to make sure that water reaches the entire body.

[2] Saheeh lighairihi: recorded by at-Tirmidhee (107), an- Nasaa’ee (1/137) and Ibn Maajah (579)

[3] Saheeh lighairihi: recorded by Aboo Daawood (250) and Ahmad (6/119)