Status of Hadeeth Concerning Virtue of Hijab

We could not find any hadeeth with the meanings mentioned in
the question or even any hadeeth that is close to it, but hijab (proper
dressing of Muslim women in public) is sufficient as a virtue, as Allah, may
He be glorified and exalted, has enjoined it in His Holy Book. Allah says
(interpretation of the meaning): 

“O Prophet! Tell your wives and your daughters and the women
of the believers to draw their cloaks (veils) all over their bodies (i.e.
screen themselves completely except the eyes or one eye to see the way).
That will be better, that they should be known (as free respectable women)
so as not to be annoyed. And Allah is Ever Oft‑Forgiving, Most Merciful.”

[al-Ahzab 33:59]. 

So the woman who covers herself is adhering to the command of
Allah and obeying His law. The one who is like that is deserving of
forgiveness from Allah, may He be glorified and exalted. 

And Allah says (interpretation of the meaning): 

“Verily, the Muslims (those who submit to Allah in Islam) men
and women, the believers men and women (who believe in Islamic Monotheism),
the men and the women who are obedient (to Allah), the men and women who are
truthful (in their speech and deeds), the men and the women who are patient
(in performing all the duties which Allah has ordered and in abstaining from
all that Allah has forbidden), the men and the women who are humble (before
their Lord Allah), the men and the women who give Sadaqat (i.e. Zakah and
alms), the men and the women who observe Sawm (fast) (the obligatory fasting
during the month of Ramadân, and the optional Nawafil fasting), the men and
the women who guard their chastity (from illegal sexual acts) and the men
and the women who remember Allah much with their hearts and tongues. Allah
has prepared for them forgiveness and a great reward (i.e. Paradise).”

[al-Ahzab 33:35]. 

Al-‘Allamah al-Sa‘di (may Allah have mercy on him) said: 

“… those who guard their chastity” means, against zina
(fornication or adultery) and that which leads to it. End quote. 

Tayseer al-Kareem al-Rahman, p.664 

It was narrated from Sahl ibn Sa‘d (may Allah be pleased with
him) that the Prophet (peace and blessings of Allah be upon him) said: 

“Whoever protects that which is between his jaws and that
which is between his legs will be guaranteed Paradise.” 

Narrated by al-Bukhari, no.6474 

There is no doubt that the woman who observes hijab
completely and has the characteristics of chastity and modesty will protect
herself and her honour more than the one whose hijab is lacking and who
uncovers any part of her body, even if the latter also keeps away from zina
and what leads to it. 

Hence Allah has promised to the women who adopt complete
hijab and protect their honour from haram (unlawful) things, forgiveness and
a great reward, and the Prophet (peace and blessings of Allah be upon him)
guaranteed that they would enter Paradise. 

And Allah knows best.