His wife cannot do ghusl because of sickness; can he have intercourse with her and let her do tayammum?
Question

                My wife has a sickness which prevents those who suffer from it from using water. This has been going on for three weeks with my wife. Is it haraam for me to be intimate with my wife during this period, because she cannot do ghusl from janaabah, or can I fulfil my desire with her and let her do tayammum for prayer?.
Praise be to Allah.There is nothing wrong with 
    you being intimate with your wife, even if the matter is as you describe, 
    and she cannot use water because she is sick. It is sufficient for her to do 
    tayammum until Allaah heals her and she can do ghusl. 
Abu Dawood (333) narrated 
    that Abu Dharr (may Allaah be pleased with him) said: I was staying in a 
    place that was far from any source of water and my wife was with me. I 
    became junub and I prayed without purifying myself (i.e., without doing 
    tayammum or ghusl). I came to the Messenger of Allaah  (peace and 
    blessings of Allaah be upon him) and he told me to use water and do ghusl. 
    Then he said: “Clean earth is a means of purification even you cannot find 
    water for ten years.” Classed as saheeh by al-Albaani in Saheeh Abi 
    Dawood. 
Some scholars regarded it 
    as makrooh for a man to have intercourse with his wife when he does not have 
    water with which to do ghusl. But the correct view is that it is not 
    makrooh, because of the hadeeth of Abu Dharr quoted above. The Prophet  
    (peace and blessings of Allaah be upon him) did not tell him not to do that, 
    rather he told him that tayammum is sufficient until he finds water and can 
    do ghusl. 
Ibn Qudaamah (may Allaah 
    have mercy on him) said, after quoting the view of those who regard that as 
    makrooh: 
It is more likely that it 
    is permissible to have intercourse with her and it is not makrooh, because 
    Abu Dharr said: The Prophet  (peace and blessings of Allaah be upon him) 
    said: … then he quoted the same hadeeth.  Ibn ‘Abbaas had intercourse with a 
    slave woman of his, when he did not have any water available, and he led his 
    companions in prayer, among whom was ‘Ammaar, and they did not criticize 
    him. Ishaaq ibn Raahawayh said: This is a Sunnah which is narrated from the 
    Prophet  (peace and blessings of Allaah be upon him) concerning Abu 
    Dharr, ‘Ammaar and others. End quote from al-Mughni (1/171). 
And Allaah knows best.