[Python] Converting Python socket server to Asyncio

I have already converted a multi-treaded HTTP proxy ran by a socket server into a single-treaded proxy ran by Asyncio. And, it works well for HTTP. However, when I try to reproduce the same with SSL handshakes or maybe "while" statement then the server fails to exchange data. Any suggestions? Thanks.

Working socket:

def proxy(host, port, conn, request):
s = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
try:
# If successful, send 200 code response
s.connect((host, port))
reply = "HTTP/1.0 200 Connection established\r\n"
reply += "Proxy-agent: Proxy\r\n"
reply += "\r\n"
conn.sendall(reply.encode())
s.setblocking(False)
print(" HTTPS Connection Established")
while True:
try:
s.sendall(conn.recv(4096))
except socket.error as err:
pass
try:
reply = s.recv(4096)
conn.sendall(reply)
except socket.error as e:
s.close()
finally:
print(" Request of client completed...")
try:
s.close()
except NameError:
print(" Connection was closed...")
except socket.error as err:
pass


Non-working socket with Asyncio:

async def proxy(host, port, conn, request):
s = socket.socket(socket.AF_INET, socket.SOCK_STREAM, 0)
try:
# If successful, send 200 code response
s.connect((host, port))
reply = "HTTP/1.0 200 Connection established\r\n"
reply += "Proxy-agent: Proxy\r\n"
reply += "\r\n"
await loop.sock_sendall(conn, reply.encode())
s.setblocking(False)
print(" HTTPS Connection Established")
while True:
try:
req_ = await loop.sock_recv(conn, 4096)
await loop.sock_sendall(s, req_)
except socket.error as err:
s.close()
try:
ans_ = s.recv(4096)
conn.sendall(ans_)
except socket.error as e:
s.close()
finally:
print(" Request of client completed...")
try:
s.close()
except NameError:
print(" Connection was closed...")
except socket.error as err:
pass

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